Datasets:
microsoft
/
FStarDataSet

Dataset card Data Studio Files Community
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Prims.Tot
val b_xor (#n: pos) (a b: bv_t n) : bv_t n
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b
val b_xor (#n: pos) (a b: bv_t n) : bv_t n let b_xor (#n: pos) (a b: bv_t n) : bv_t n =
false
null
false
bvxor a b
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.pos", "FStar.BV.bv_t", "FStar.BV.bvxor" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val b_xor (#n: pos) (a b: bv_t n) : bv_t n
[]
Vale.Math.Bits.b_xor
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n
{ "end_col": 80, "end_line": 11, "start_col": 71, "start_line": 11 }
Prims.Tot
val b_sub (#n: pos) (a b: bv_t n) : bv_t n
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let b_sub (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvsub a b
val b_sub (#n: pos) (a b: bv_t n) : bv_t n let b_sub (#n: pos) (a b: bv_t n) : bv_t n =
false
null
false
bvsub a b
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.pos", "FStar.BV.bv_t", "FStar.BV.bvsub" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val b_sub (#n: pos) (a b: bv_t n) : bv_t n
[]
Vale.Math.Bits.b_sub
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n
{ "end_col": 80, "end_line": 16, "start_col": 71, "start_line": 16 }
Prims.Tot
val b_and (#n: pos) (a b: bv_t n) : bv_t n
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b
val b_and (#n: pos) (a b: bv_t n) : bv_t n let b_and (#n: pos) (a b: bv_t n) : bv_t n =
false
null
false
bvand a b
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.pos", "FStar.BV.bv_t", "FStar.BV.bvand" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val b_and (#n: pos) (a b: bv_t n) : bv_t n
[]
Vale.Math.Bits.b_and
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n
{ "end_col": 80, "end_line": 9, "start_col": 71, "start_line": 9 }
Prims.Tot
val b_add (#n: pos) (a b: bv_t n) : bv_t n
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b
val b_add (#n: pos) (a b: bv_t n) : bv_t n let b_add (#n: pos) (a b: bv_t n) : bv_t n =
false
null
false
bvadd a b
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.pos", "FStar.BV.bv_t", "FStar.BV.bvadd" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val b_add (#n: pos) (a b: bv_t n) : bv_t n
[]
Vale.Math.Bits.b_add
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n
{ "end_col": 80, "end_line": 15, "start_col": 71, "start_line": 15 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let is_bv32 (#n:nat{n >= 32}) (a:bv_t n) = lemma_pow2_le 32 n; a == b_and a (b_i2b 0xffffffff)
let is_bv32 (#n: nat{n >= 32}) (a: bv_t n) =
false
null
false
lemma_pow2_le 32 n; a == b_and a (b_i2b 0xffffffff)
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.nat", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "FStar.BV.bv_t", "Prims.eq2", "Vale.Math.Bits.b_and", "Vale.Math.Bits.b_i2b", "Prims.unit", "Vale.Math.Bits.lemma_pow2_le", "Prims.logical" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s [@"opaque_to_smt"] let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b [@"opaque_to_smt"] let b_sub (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvsub a b [@"opaque_to_smt"] let b_mul (#n:pos) (a:bv_t n) (b:uint_t n) : bv_t n = bvmul a b [@"opaque_to_smt"] let b_div (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvdiv a b [@"opaque_to_smt"] let b_mod (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvmod a b // TODO: b_ult, when F*'s SMT encoding fully supports it private val lemma_pow2_le (m n:nat) : Lemma (requires m <= n) (ensures pow2 m <= pow2 n) let uext (#n #m:pos) (a:uint_t n) : normalize (uint_t (m + n)) = lemma_pow2_le n (n + m); a val lemma_i2b_eq (#n:pos) (a b:uint_t n) : Lemma (requires b_i2b a == b_i2b b) (ensures a == b) val lemma_i2b_uext (#n m:pos) (a:uint_t n) : Lemma (b_i2b (uext #n #m a) == b_uext #n #m (b_i2b #n a)) val lemma_i2b_and (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) val lemma_i2b_or (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) val lemma_i2b_xor (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) // TODO, when FStar.BV supports int2bv_lognot: //val lemma_i2b_not (#n:pos) (a:uint_t n) : Lemma // (b_i2b #n (lognot #n a) == b_not #n (b_i2b a)) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shl (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shr (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) val lemma_i2b_add (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) val lemma_i2b_sub (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) val lemma_i2b_mul (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) val lemma_i2b_div (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) val lemma_i2b_mod (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) val add_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> a + b < pow2 n ==> x == a + b) val sub_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a - b ==> x == a - b) val mul_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a * b /\ (a * b < pow2 n ==> x == a * b)) let lemmas_i2b_all = (forall (#n:pos) (m:pos) (a:uint_t n) (mn:pos).{:pattern (b_i2b #mn (uext #n #m a))} mn == m + n ==> b_i2b #mn (uext #n #m a) == b_uext #n #m (b_i2b #n a)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logand a b))} b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logor a b))} b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logxor a b))} b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) /\ // TODO: shl and shr should take a nat (see comment above) (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_left a b))} b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_right a b))} b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_hide a b))} b_i2b #n (add_hide #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_hide a b))} b_i2b #n (sub_hide #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_hide a b))} b_i2b #n (mul_hide #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_mod a b))} b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_mod a b))} b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_mod a b))} b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (udiv a b))} b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (mod a b))} b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) /\ True val lemma_i2b_all (_:unit) : Lemma lemmas_i2b_all val lemma_i2b_with_all (n:pos) (p:Type0) : Lemma (requires lemmas_i2b_all ==> p) (ensures p) val lemma_i2b_equal (#n:pos) (x y:uint_t n) : Lemma (requires lemmas_i2b_all ==> b_i2b x == b_i2b y) (ensures x == y) unfold let is_bv8 (#n:nat{n >= 8}) (a:bv_t n) = lemma_pow2_le 8 n; a == b_and a (b_i2b 0xff)
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_bv32 : a: FStar.BV.bv_t n -> Prims.logical
[]
Vale.Math.Bits.is_bv32
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> Prims.logical
{ "end_col": 101, "end_line": 111, "start_col": 50, "start_line": 111 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let is_bv16 (#n:nat{n >= 16}) (a:bv_t n) = lemma_pow2_le 16 n; a == b_and a (b_i2b 0xffff)
let is_bv16 (#n: nat{n >= 16}) (a: bv_t n) =
false
null
false
lemma_pow2_le 16 n; a == b_and a (b_i2b 0xffff)
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.nat", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "FStar.BV.bv_t", "Prims.eq2", "Vale.Math.Bits.b_and", "Vale.Math.Bits.b_i2b", "Prims.unit", "Vale.Math.Bits.lemma_pow2_le", "Prims.logical" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s [@"opaque_to_smt"] let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b [@"opaque_to_smt"] let b_sub (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvsub a b [@"opaque_to_smt"] let b_mul (#n:pos) (a:bv_t n) (b:uint_t n) : bv_t n = bvmul a b [@"opaque_to_smt"] let b_div (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvdiv a b [@"opaque_to_smt"] let b_mod (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvmod a b // TODO: b_ult, when F*'s SMT encoding fully supports it private val lemma_pow2_le (m n:nat) : Lemma (requires m <= n) (ensures pow2 m <= pow2 n) let uext (#n #m:pos) (a:uint_t n) : normalize (uint_t (m + n)) = lemma_pow2_le n (n + m); a val lemma_i2b_eq (#n:pos) (a b:uint_t n) : Lemma (requires b_i2b a == b_i2b b) (ensures a == b) val lemma_i2b_uext (#n m:pos) (a:uint_t n) : Lemma (b_i2b (uext #n #m a) == b_uext #n #m (b_i2b #n a)) val lemma_i2b_and (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) val lemma_i2b_or (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) val lemma_i2b_xor (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) // TODO, when FStar.BV supports int2bv_lognot: //val lemma_i2b_not (#n:pos) (a:uint_t n) : Lemma // (b_i2b #n (lognot #n a) == b_not #n (b_i2b a)) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shl (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shr (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) val lemma_i2b_add (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) val lemma_i2b_sub (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) val lemma_i2b_mul (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) val lemma_i2b_div (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) val lemma_i2b_mod (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) val add_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> a + b < pow2 n ==> x == a + b) val sub_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a - b ==> x == a - b) val mul_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a * b /\ (a * b < pow2 n ==> x == a * b)) let lemmas_i2b_all = (forall (#n:pos) (m:pos) (a:uint_t n) (mn:pos).{:pattern (b_i2b #mn (uext #n #m a))} mn == m + n ==> b_i2b #mn (uext #n #m a) == b_uext #n #m (b_i2b #n a)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logand a b))} b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logor a b))} b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logxor a b))} b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) /\ // TODO: shl and shr should take a nat (see comment above) (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_left a b))} b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_right a b))} b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_hide a b))} b_i2b #n (add_hide #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_hide a b))} b_i2b #n (sub_hide #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_hide a b))} b_i2b #n (mul_hide #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_mod a b))} b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_mod a b))} b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_mod a b))} b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (udiv a b))} b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (mod a b))} b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) /\ True val lemma_i2b_all (_:unit) : Lemma lemmas_i2b_all val lemma_i2b_with_all (n:pos) (p:Type0) : Lemma (requires lemmas_i2b_all ==> p) (ensures p) val lemma_i2b_equal (#n:pos) (x y:uint_t n) : Lemma (requires lemmas_i2b_all ==> b_i2b x == b_i2b y) (ensures x == y)
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_bv16 : a: FStar.BV.bv_t n -> Prims.logical
[]
Vale.Math.Bits.is_bv16
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> Prims.logical
{ "end_col": 97, "end_line": 110, "start_col": 50, "start_line": 110 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let is_bv8 (#n:nat{n >= 8}) (a:bv_t n) = lemma_pow2_le 8 n; a == b_and a (b_i2b 0xff)
let is_bv8 (#n: nat{n >= 8}) (a: bv_t n) =
false
null
false
lemma_pow2_le 8 n; a == b_and a (b_i2b 0xff)
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.nat", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "FStar.BV.bv_t", "Prims.eq2", "Vale.Math.Bits.b_and", "Vale.Math.Bits.b_i2b", "Prims.unit", "Vale.Math.Bits.lemma_pow2_le", "Prims.logical" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s [@"opaque_to_smt"] let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b [@"opaque_to_smt"] let b_sub (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvsub a b [@"opaque_to_smt"] let b_mul (#n:pos) (a:bv_t n) (b:uint_t n) : bv_t n = bvmul a b [@"opaque_to_smt"] let b_div (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvdiv a b [@"opaque_to_smt"] let b_mod (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvmod a b // TODO: b_ult, when F*'s SMT encoding fully supports it private val lemma_pow2_le (m n:nat) : Lemma (requires m <= n) (ensures pow2 m <= pow2 n) let uext (#n #m:pos) (a:uint_t n) : normalize (uint_t (m + n)) = lemma_pow2_le n (n + m); a val lemma_i2b_eq (#n:pos) (a b:uint_t n) : Lemma (requires b_i2b a == b_i2b b) (ensures a == b) val lemma_i2b_uext (#n m:pos) (a:uint_t n) : Lemma (b_i2b (uext #n #m a) == b_uext #n #m (b_i2b #n a)) val lemma_i2b_and (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) val lemma_i2b_or (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) val lemma_i2b_xor (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) // TODO, when FStar.BV supports int2bv_lognot: //val lemma_i2b_not (#n:pos) (a:uint_t n) : Lemma // (b_i2b #n (lognot #n a) == b_not #n (b_i2b a)) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shl (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shr (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) val lemma_i2b_add (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) val lemma_i2b_sub (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) val lemma_i2b_mul (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) val lemma_i2b_div (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) val lemma_i2b_mod (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) val add_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> a + b < pow2 n ==> x == a + b) val sub_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a - b ==> x == a - b) val mul_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a * b /\ (a * b < pow2 n ==> x == a * b)) let lemmas_i2b_all = (forall (#n:pos) (m:pos) (a:uint_t n) (mn:pos).{:pattern (b_i2b #mn (uext #n #m a))} mn == m + n ==> b_i2b #mn (uext #n #m a) == b_uext #n #m (b_i2b #n a)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logand a b))} b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logor a b))} b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logxor a b))} b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) /\ // TODO: shl and shr should take a nat (see comment above) (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_left a b))} b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_right a b))} b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_hide a b))} b_i2b #n (add_hide #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_hide a b))} b_i2b #n (sub_hide #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_hide a b))} b_i2b #n (mul_hide #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_mod a b))} b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_mod a b))} b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_mod a b))} b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (udiv a b))} b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (mod a b))} b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) /\ True val lemma_i2b_all (_:unit) : Lemma lemmas_i2b_all val lemma_i2b_with_all (n:pos) (p:Type0) : Lemma (requires lemmas_i2b_all ==> p) (ensures p) val lemma_i2b_equal (#n:pos) (x y:uint_t n) : Lemma (requires lemmas_i2b_all ==> b_i2b x == b_i2b y) (ensures x == y)
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_bv8 : a: FStar.BV.bv_t n -> Prims.logical
[]
Vale.Math.Bits.is_bv8
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> Prims.logical
{ "end_col": 92, "end_line": 109, "start_col": 48, "start_line": 109 }
Prims.Tot
val b_mul (#n: pos) (a: bv_t n) (b: uint_t n) : bv_t n
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let b_mul (#n:pos) (a:bv_t n) (b:uint_t n) : bv_t n = bvmul a b
val b_mul (#n: pos) (a: bv_t n) (b: uint_t n) : bv_t n let b_mul (#n: pos) (a: bv_t n) (b: uint_t n) : bv_t n =
false
null
false
bvmul a b
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.pos", "FStar.BV.bv_t", "FStar.UInt.uint_t", "FStar.BV.bvmul" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s [@"opaque_to_smt"] let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val b_mul (#n: pos) (a: bv_t n) (b: uint_t n) : bv_t n
[]
Vale.Math.Bits.b_mul
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> b: FStar.UInt.uint_t n -> FStar.BV.bv_t n
{ "end_col": 82, "end_line": 17, "start_col": 73, "start_line": 17 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let is_bv64 (#n:nat{n >= 64}) (a:bv_t n) = lemma_pow2_le 64 n; a == b_and a (b_i2b 0xffffffffffffffff)
let is_bv64 (#n: nat{n >= 64}) (a: bv_t n) =
false
null
false
lemma_pow2_le 64 n; a == b_and a (b_i2b 0xffffffffffffffff)
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.nat", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "FStar.BV.bv_t", "Prims.eq2", "Vale.Math.Bits.b_and", "Vale.Math.Bits.b_i2b", "Prims.unit", "Vale.Math.Bits.lemma_pow2_le", "Prims.logical" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s [@"opaque_to_smt"] let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b [@"opaque_to_smt"] let b_sub (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvsub a b [@"opaque_to_smt"] let b_mul (#n:pos) (a:bv_t n) (b:uint_t n) : bv_t n = bvmul a b [@"opaque_to_smt"] let b_div (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvdiv a b [@"opaque_to_smt"] let b_mod (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvmod a b // TODO: b_ult, when F*'s SMT encoding fully supports it private val lemma_pow2_le (m n:nat) : Lemma (requires m <= n) (ensures pow2 m <= pow2 n) let uext (#n #m:pos) (a:uint_t n) : normalize (uint_t (m + n)) = lemma_pow2_le n (n + m); a val lemma_i2b_eq (#n:pos) (a b:uint_t n) : Lemma (requires b_i2b a == b_i2b b) (ensures a == b) val lemma_i2b_uext (#n m:pos) (a:uint_t n) : Lemma (b_i2b (uext #n #m a) == b_uext #n #m (b_i2b #n a)) val lemma_i2b_and (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) val lemma_i2b_or (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) val lemma_i2b_xor (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) // TODO, when FStar.BV supports int2bv_lognot: //val lemma_i2b_not (#n:pos) (a:uint_t n) : Lemma // (b_i2b #n (lognot #n a) == b_not #n (b_i2b a)) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shl (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shr (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) val lemma_i2b_add (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) val lemma_i2b_sub (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) val lemma_i2b_mul (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) val lemma_i2b_div (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) val lemma_i2b_mod (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) val add_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> a + b < pow2 n ==> x == a + b) val sub_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a - b ==> x == a - b) val mul_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a * b /\ (a * b < pow2 n ==> x == a * b)) let lemmas_i2b_all = (forall (#n:pos) (m:pos) (a:uint_t n) (mn:pos).{:pattern (b_i2b #mn (uext #n #m a))} mn == m + n ==> b_i2b #mn (uext #n #m a) == b_uext #n #m (b_i2b #n a)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logand a b))} b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logor a b))} b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logxor a b))} b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) /\ // TODO: shl and shr should take a nat (see comment above) (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_left a b))} b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_right a b))} b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_hide a b))} b_i2b #n (add_hide #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_hide a b))} b_i2b #n (sub_hide #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_hide a b))} b_i2b #n (mul_hide #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_mod a b))} b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_mod a b))} b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_mod a b))} b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (udiv a b))} b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (mod a b))} b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) /\ True val lemma_i2b_all (_:unit) : Lemma lemmas_i2b_all val lemma_i2b_with_all (n:pos) (p:Type0) : Lemma (requires lemmas_i2b_all ==> p) (ensures p) val lemma_i2b_equal (#n:pos) (x y:uint_t n) : Lemma (requires lemmas_i2b_all ==> b_i2b x == b_i2b y) (ensures x == y) unfold let is_bv8 (#n:nat{n >= 8}) (a:bv_t n) = lemma_pow2_le 8 n; a == b_and a (b_i2b 0xff) unfold let is_bv16 (#n:nat{n >= 16}) (a:bv_t n) = lemma_pow2_le 16 n; a == b_and a (b_i2b 0xffff)
false
false
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_bv64 : a: FStar.BV.bv_t n -> Prims.logical
[]
Vale.Math.Bits.is_bv64
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: FStar.BV.bv_t n -> Prims.logical
{ "end_col": 109, "end_line": 112, "start_col": 50, "start_line": 112 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.UInt", "short_module": null }, { "abbrev": false, "full_module": "FStar.BV", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let lemmas_i2b_all = (forall (#n:pos) (m:pos) (a:uint_t n) (mn:pos).{:pattern (b_i2b #mn (uext #n #m a))} mn == m + n ==> b_i2b #mn (uext #n #m a) == b_uext #n #m (b_i2b #n a)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logand a b))} b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logor a b))} b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (logxor a b))} b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) /\ // TODO: shl and shr should take a nat (see comment above) (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_left a b))} b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (shift_right a b))} b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_hide a b))} b_i2b #n (add_hide #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_hide a b))} b_i2b #n (sub_hide #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_hide a b))} b_i2b #n (mul_hide #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (add_mod a b))} b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (sub_mod a b))} b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n:pos) (a b:uint_t n).{:pattern (b_i2b #n (mul_mod a b))} b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (udiv a b))} b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) /\ (forall (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}).{:pattern (b_i2b #n (mod a b))} b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) /\ True
let lemmas_i2b_all =
false
null
false
(forall (#n: pos) (m: pos) (a: uint_t n) (mn: pos). {:pattern (b_i2b #mn (uext #n #m a))} mn == m + n ==> b_i2b #mn (uext #n #m a) == b_uext #n #m (b_i2b #n a)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (logand a b))} b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (logor a b))} b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (logxor a b))} b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (shift_left a b))} b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (shift_right a b))} b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (add_hide a b))} b_i2b #n (add_hide #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (sub_hide a b))} b_i2b #n (sub_hide #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (mul_hide a b))} b_i2b #n (mul_hide #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (add_mod a b))} b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (sub_mod a b))} b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n). {:pattern (b_i2b #n (mul_mod a b))} b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n {b <> 0}). {:pattern (b_i2b #n (udiv a b))} b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) /\ (forall (#n: pos) (a: uint_t n) (b: uint_t n {b <> 0}). {:pattern (b_i2b #n (mod a b))} b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) /\ True
{ "checked_file": "Vale.Math.Bits.fsti.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.BV.fsti.checked" ], "interface_file": false, "source_file": "Vale.Math.Bits.fsti" }
[ "total" ]
[ "Prims.l_and", "Prims.l_Forall", "Prims.pos", "FStar.UInt.uint_t", "Prims.l_imp", "Prims.eq2", "Prims.int", "Prims.op_Addition", "FStar.BV.bv_t", "Vale.Math.Bits.b_i2b", "Vale.Math.Bits.uext", "Vale.Math.Bits.b_uext", "FStar.UInt.logand", "Vale.Math.Bits.b_and", "FStar.UInt.logor", "Vale.Math.Bits.b_or", "FStar.UInt.logxor", "Vale.Math.Bits.b_xor", "FStar.UInt.shift_left", "Vale.Math.Bits.b_shl", "FStar.UInt.shift_right", "Vale.Math.Bits.b_shr", "Vale.Math.Bits.add_hide", "Vale.Math.Bits.b_add", "Vale.Math.Bits.sub_hide", "Vale.Math.Bits.b_sub", "Vale.Math.Bits.mul_hide", "Vale.Math.Bits.b_mul", "FStar.UInt.add_mod", "FStar.UInt.sub_mod", "FStar.UInt.mul_mod", "Prims.b2t", "Prims.op_disEquality", "FStar.UInt.udiv", "Vale.Math.Bits.b_div", "FStar.UInt.mod", "Vale.Math.Bits.b_mod", "Prims.l_True" ]
[]
module Vale.Math.Bits open FStar.BV open FStar.UInt open FStar.Mul [@"opaque_to_smt"] let b_i2b (#n:pos) (num:uint_t n) : bv_t n = int2bv num [@"opaque_to_smt"] let b_b2i (#n:pos) (vec:bv_t n) : uint_t n = bv2int vec [@"opaque_to_smt"] let b_uext (#n #m:pos) (a:bv_t n) : normalize (bv_t (m + n)) = bv_uext #n #m a [@"opaque_to_smt"] let b_and (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvand a b [@"opaque_to_smt"] let b_or (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvor a b [@"opaque_to_smt"] let b_xor (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvxor a b [@"opaque_to_smt"] let b_not (#n:pos) (a:bv_t n) : bv_t n = bvnot a [@"opaque_to_smt"] let b_shl (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshl a s [@"opaque_to_smt"] let b_shr (#n:pos) (a:bv_t n) (s:nat) : bv_t n = bvshr a s [@"opaque_to_smt"] let b_add (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvadd a b [@"opaque_to_smt"] let b_sub (#n:pos) (a:bv_t n) (b:bv_t n) : bv_t n = bvsub a b [@"opaque_to_smt"] let b_mul (#n:pos) (a:bv_t n) (b:uint_t n) : bv_t n = bvmul a b [@"opaque_to_smt"] let b_div (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvdiv a b [@"opaque_to_smt"] let b_mod (#n:pos) (a:bv_t n) (b:uint_t n{b <> 0}) : bv_t n = bvmod a b // TODO: b_ult, when F*'s SMT encoding fully supports it private val lemma_pow2_le (m n:nat) : Lemma (requires m <= n) (ensures pow2 m <= pow2 n) let uext (#n #m:pos) (a:uint_t n) : normalize (uint_t (m + n)) = lemma_pow2_le n (n + m); a val lemma_i2b_eq (#n:pos) (a b:uint_t n) : Lemma (requires b_i2b a == b_i2b b) (ensures a == b) val lemma_i2b_uext (#n m:pos) (a:uint_t n) : Lemma (b_i2b (uext #n #m a) == b_uext #n #m (b_i2b #n a)) val lemma_i2b_and (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logand #n a b) == b_and #n (b_i2b a) (b_i2b b)) val lemma_i2b_or (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logor #n a b) == b_or #n (b_i2b a) (b_i2b b)) val lemma_i2b_xor (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (logxor #n a b) == b_xor #n (b_i2b a) (b_i2b b)) // TODO, when FStar.BV supports int2bv_lognot: //val lemma_i2b_not (#n:pos) (a:uint_t n) : Lemma // (b_i2b #n (lognot #n a) == b_not #n (b_i2b a)) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shl (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_left #n a b) == b_shl #n (b_i2b a) b) // TODO (fix FStar.BV): b should be nat, not uint_t n val lemma_i2b_shr (#n:pos) (a:uint_t n) (b:uint_t n) : Lemma (b_i2b #n (shift_right #n a b) == b_shr #n (b_i2b a) b) val lemma_i2b_add (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (add_mod #n a b) == b_add #n (b_i2b a) (b_i2b b)) val lemma_i2b_sub (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (sub_mod #n a b) == b_sub #n (b_i2b a) (b_i2b b)) val lemma_i2b_mul (#n:pos) (a b:uint_t n) : Lemma (b_i2b #n (mul_mod #n a b) == b_mul #n (b_i2b a) b) val lemma_i2b_div (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (udiv #n a b) == b_div #n (b_i2b a) b) val lemma_i2b_mod (#n:pos) (a:uint_t n) (b:uint_t n{b <> 0}) : Lemma (b_i2b #n (mod #n a b) == b_mod #n (b_i2b a) b) val add_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> a + b < pow2 n ==> x == a + b) val sub_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a - b ==> x == a - b) val mul_hide (#n:pos) (a b:uint_t n) : Pure (uint_t n) (requires True) (ensures fun x -> 0 <= a * b /\ (a * b < pow2 n ==> x == a * b))
false
true
Vale.Math.Bits.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val lemmas_i2b_all : Prims.logical
[]
Vale.Math.Bits.lemmas_i2b_all
{ "file_name": "vale/code/lib/math/Vale.Math.Bits.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Prims.logical
{ "end_col": 6, "end_line": 96, "start_col": 2, "start_line": 81 }
Prims.Tot
val va_quick_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_multiply offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastMul_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) = (va_QProc (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_multiply offset dst_b inA_b inB_b) (va_wpProof_Fast_multiply offset dst_b inA_b inB_b))
val va_quick_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) let va_quick_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) =
false
null
false
(va_QProc (va_code_Fast_multiply offset) ([ va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem ]) (va_wp_Fast_multiply offset dst_b inA_b inB_b) (va_wpProof_Fast_multiply offset dst_b inA_b inB_b))
{ "checked_file": "Vale.Curve25519.X64.FastMul.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Curve25519.X64.FastMul.fsti" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastMul.va_code_Fast_multiply", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Vale.Curve25519.X64.FastMul.va_wp_Fast_multiply", "Vale.Curve25519.X64.FastMul.va_wpProof_Fast_multiply", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastMul open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Curve25519.Fast_defs open Vale.X64.CPU_Features_s //-- Fast_multiply val va_code_Fast_multiply : offset:nat -> Tot va_code val va_codegen_success_Fast_multiply : offset:nat -> Tot va_pbool val va_lemma_Fast_multiply : va_b0:va_code -> va_s0:va_state -> offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_multiply offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))) [@ va_qattr] let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_heap0:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (()))) val va_wpProof_Fast_multiply : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_multiply offset dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) :
false
false
Vale.Curve25519.X64.FastMul.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_multiply offset))
[]
Vale.Curve25519.X64.FastMul.va_quick_Fast_multiply
{ "file_name": "obj/Vale.Curve25519.X64.FastMul.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastMul.va_code_Fast_multiply offset)
{ "end_col": 82, "end_line": 150, "start_col": 2, "start_line": 147 }
Prims.Tot
val va_quick_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastMul_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win)) = (va_QProc (va_code_Fast_mul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_mul_stdcall win dst_b inA_b inB_b) (va_wpProof_Fast_mul_stdcall win dst_b inA_b inB_b))
val va_quick_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win)) let va_quick_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win)) =
false
null
false
(va_QProc (va_code_Fast_mul_stdcall win) ([ va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem ]) (va_wp_Fast_mul_stdcall win dst_b inA_b inB_b) (va_wpProof_Fast_mul_stdcall win dst_b inA_b inB_b))
{ "checked_file": "Vale.Curve25519.X64.FastMul.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Curve25519.X64.FastMul.fsti" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastMul.va_code_Fast_mul_stdcall", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_stackTaint", "Vale.X64.QuickCode.va_Mod_stack", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Vale.Curve25519.X64.FastMul.va_wp_Fast_mul_stdcall", "Vale.Curve25519.X64.FastMul.va_wpProof_Fast_mul_stdcall", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastMul open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Curve25519.Fast_defs open Vale.X64.CPU_Features_s //-- Fast_multiply val va_code_Fast_multiply : offset:nat -> Tot va_code val va_codegen_success_Fast_multiply : offset:nat -> Tot va_pbool val va_lemma_Fast_multiply : va_b0:va_code -> va_s0:va_state -> offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_multiply offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))) [@ va_qattr] let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_heap0:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (()))) val va_wpProof_Fast_multiply : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_multiply offset dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) = (va_QProc (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_multiply offset dst_b inA_b inB_b) (va_wpProof_Fast_multiply offset dst_b inA_b inB_b)) //-- //-- Fast_mul_stdcall val va_code_Fast_mul_stdcall : win:bool -> Tot va_code val va_codegen_success_Fast_mul_stdcall : win:bool -> Tot va_pbool val va_lemma_Fast_mul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@ va_qattr] let va_wp_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_rsp:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul_stdcall : win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul_stdcall win dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) :
false
false
Vale.Curve25519.X64.FastMul.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win))
[]
Vale.Curve25519.X64.FastMul.va_quick_Fast_mul_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastMul.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastMul.va_code_Fast_mul_stdcall win)
{ "end_col": 11, "end_line": 280, "start_col": 2, "start_line": 275 }
Prims.Tot
val va_quick_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul2_stdcall win))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastMul_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_mul2_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_mul2_stdcall win)) = (va_QProc (va_code_Fast_mul2_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_mul2_stdcall win dst_b inA_b inB_b) (va_wpProof_Fast_mul2_stdcall win dst_b inA_b inB_b))
val va_quick_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul2_stdcall win)) let va_quick_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul2_stdcall win)) =
false
null
false
(va_QProc (va_code_Fast_mul2_stdcall win) ([ va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem ]) (va_wp_Fast_mul2_stdcall win dst_b inA_b inB_b) (va_wpProof_Fast_mul2_stdcall win dst_b inA_b inB_b))
{ "checked_file": "Vale.Curve25519.X64.FastMul.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Curve25519.X64.FastMul.fsti" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastMul.va_code_Fast_mul2_stdcall", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_stackTaint", "Vale.X64.QuickCode.va_Mod_stack", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Vale.Curve25519.X64.FastMul.va_wp_Fast_mul2_stdcall", "Vale.Curve25519.X64.FastMul.va_wpProof_Fast_mul2_stdcall", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastMul open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Curve25519.Fast_defs open Vale.X64.CPU_Features_s //-- Fast_multiply val va_code_Fast_multiply : offset:nat -> Tot va_code val va_codegen_success_Fast_multiply : offset:nat -> Tot va_pbool val va_lemma_Fast_multiply : va_b0:va_code -> va_s0:va_state -> offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_multiply offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))) [@ va_qattr] let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_heap0:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (()))) val va_wpProof_Fast_multiply : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_multiply offset dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) = (va_QProc (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_multiply offset dst_b inA_b inB_b) (va_wpProof_Fast_multiply offset dst_b inA_b inB_b)) //-- //-- Fast_mul_stdcall val va_code_Fast_mul_stdcall : win:bool -> Tot va_code val va_codegen_success_Fast_mul_stdcall : win:bool -> Tot va_pbool val va_lemma_Fast_mul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@ va_qattr] let va_wp_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_rsp:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul_stdcall : win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul_stdcall win dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win)) = (va_QProc (va_code_Fast_mul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_mul_stdcall win dst_b inA_b inB_b) (va_wpProof_Fast_mul_stdcall win dst_b inA_b inB_b)) //-- //-- Fast_mul2_stdcall val va_code_Fast_mul2_stdcall : win:bool -> Tot va_code val va_codegen_success_Fast_mul2_stdcall : win:bool -> Tot va_pbool val va_lemma_Fast_mul2_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 16 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 8 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 8) (va_get_mem_heaplet 0 va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 8) (va_get_mem_heaplet 0 va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 8) (va_get_mem_heaplet 0 va_sM) in let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 8) (va_get_mem_heaplet 0 va_sM) in let d4' = Vale.X64.Decls.buffer64_read dst_b (4 + 8) (va_get_mem_heaplet 0 va_sM) in let d5' = Vale.X64.Decls.buffer64_read dst_b (5 + 8) (va_get_mem_heaplet 0 va_sM) in let d6' = Vale.X64.Decls.buffer64_read dst_b (6 + 8) (va_get_mem_heaplet 0 va_sM) in let d7' = Vale.X64.Decls.buffer64_read dst_b (7 + 8) (va_get_mem_heaplet 0 va_sM) in let d' = Vale.Curve25519.Fast_defs.pow2_eight d0' d1' d2' d3' d4' d5' d6' d7' in d == va_mul_nat a b /\ d' == va_mul_nat a' b' /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 16 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@ va_qattr] let va_wp_Fast_mul2_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 16 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_rsp:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 8) (va_get_mem_heaplet 0 va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 8) (va_get_mem_heaplet 0 va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 8) (va_get_mem_heaplet 0 va_sM) in let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 8) (va_get_mem_heaplet 0 va_sM) in let d4' = Vale.X64.Decls.buffer64_read dst_b (4 + 8) (va_get_mem_heaplet 0 va_sM) in let d5' = Vale.X64.Decls.buffer64_read dst_b (5 + 8) (va_get_mem_heaplet 0 va_sM) in let d6' = Vale.X64.Decls.buffer64_read dst_b (6 + 8) (va_get_mem_heaplet 0 va_sM) in let d7' = Vale.X64.Decls.buffer64_read dst_b (7 + 8) (va_get_mem_heaplet 0 va_sM) in let d' = Vale.Curve25519.Fast_defs.pow2_eight d0' d1' d2' d3' d4' d5' d6' d7' in d == va_mul_nat a b /\ d' == va_mul_nat a' b' /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 16 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul2_stdcall : win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul2_stdcall win dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul2_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul2_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) :
false
false
Vale.Curve25519.X64.FastMul.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_mul2_stdcall win))
[]
Vale.Curve25519.X64.FastMul.va_quick_Fast_mul2_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastMul.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastMul.va_code_Fast_mul2_stdcall win)
{ "end_col": 11, "end_line": 443, "start_col": 2, "start_line": 438 }
Prims.Tot
val va_wp_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastMul_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_heap0:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (())))
val va_wp_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rdx: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_rbx: nat64) (va_x_r13: nat64) (va_x_r14: nat64) (va_x_heap0: vale_heap) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastMul.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Curve25519.X64.FastMul.fsti" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Prims.l_or", "Prims.eq2", "Prims.int", "Vale.X64.Decls.buffers_disjoint", "Vale.X64.Decls.validDstAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRdi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRcx", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Prims.l_Forall", "Vale.X64.InsBasic.vale_heap", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Decls.modifies_buffer_specific", "Prims.op_Subtraction", "Vale.Curve25519.Fast_defs.pow2_eight", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_mem_heaplet", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_upd_mem" ]
[]
module Vale.Curve25519.X64.FastMul open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Curve25519.Fast_defs open Vale.X64.CPU_Features_s //-- Fast_multiply val va_code_Fast_multiply : offset:nat -> Tot va_code val va_codegen_success_Fast_multiply : offset:nat -> Tot va_pbool val va_lemma_Fast_multiply : va_b0:va_code -> va_s0:va_state -> offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_multiply offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))) [@ va_qattr] let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64)
false
true
Vale.Curve25519.X64.FastMul.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_multiply (offset: nat) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastMul.va_wp_Fast_multiply
{ "file_name": "obj/Vale.Curve25519.X64.FastMul.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 97, "end_line": 134, "start_col": 2, "start_line": 82 }
Prims.Tot
val va_wp_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastMul_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_mul2_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 16 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_rsp:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 8) (va_get_mem_heaplet 0 va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 8) (va_get_mem_heaplet 0 va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 8) (va_get_mem_heaplet 0 va_sM) in let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 8) (va_get_mem_heaplet 0 va_sM) in let d4' = Vale.X64.Decls.buffer64_read dst_b (4 + 8) (va_get_mem_heaplet 0 va_sM) in let d5' = Vale.X64.Decls.buffer64_read dst_b (5 + 8) (va_get_mem_heaplet 0 va_sM) in let d6' = Vale.X64.Decls.buffer64_read dst_b (6 + 8) (va_get_mem_heaplet 0 va_sM) in let d7' = Vale.X64.Decls.buffer64_read dst_b (7 + 8) (va_get_mem_heaplet 0 va_sM) in let d' = Vale.Curve25519.Fast_defs.pow2_eight d0' d1' d2' d3' d4' d5' d6' d7' in d == va_mul_nat a b /\ d' == va_mul_nat a' b' /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 16 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
val va_wp_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let dst_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inA_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let inB_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 16 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_rdi: nat64) (va_x_rsi: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_r13: nat64) (va_x_r14: nat64) (va_x_rsp: nat64) (va_x_efl: Vale.X64.Flags.t) (va_x_heap0: vale_heap) (va_x_stack: vale_stack) (va_x_stackTaint: memtaint). let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0 ))))))))))))))))) in va_get_ok va_sM /\ (let dst_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inA_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let inB_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 8) (va_get_mem_heaplet 0 va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 8) (va_get_mem_heaplet 0 va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 8) (va_get_mem_heaplet 0 va_sM) in let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 8) (va_get_mem_heaplet 0 va_sM) in let d4' = Vale.X64.Decls.buffer64_read dst_b (4 + 8) (va_get_mem_heaplet 0 va_sM) in let d5' = Vale.X64.Decls.buffer64_read dst_b (5 + 8) (va_get_mem_heaplet 0 va_sM) in let d6' = Vale.X64.Decls.buffer64_read dst_b (6 + 8) (va_get_mem_heaplet 0 va_sM) in let d7' = Vale.X64.Decls.buffer64_read dst_b (7 + 8) (va_get_mem_heaplet 0 va_sM) in let d' = Vale.Curve25519.Fast_defs.pow2_eight d0' d1' d2' d3' d4' d5' d6' d7' in d == va_mul_nat a b /\ d' == va_mul_nat a' b' /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 16 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastMul.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Curve25519.X64.FastMul.fsti" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.eq2", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Stack_i.init_rsp", "Vale.X64.Decls.va_get_stack", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Vale.X64.Decls.buffers_disjoint", "Vale.X64.Decls.validDstAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_int_range", "Vale.X64.Decls.va_if", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rR8", "Prims.l_not", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdi", "Prims.l_Forall", "Vale.X64.InsBasic.vale_heap", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Vale.X64.InsBasic.vale_stack", "Vale.X64.Memory.memtaint", "Prims.l_imp", "Prims.nat", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR14", "Vale.Curve25519.Fast_defs.pow2_eight", "Vale.X64.Decls.buffer64_read", "Prims.op_Addition", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_stackTaint", "Vale.X64.Decls.va_upd_stack", "Vale.X64.Decls.va_upd_mem_heaplet", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_upd_mem" ]
[]
module Vale.Curve25519.X64.FastMul open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Curve25519.Fast_defs open Vale.X64.CPU_Features_s //-- Fast_multiply val va_code_Fast_multiply : offset:nat -> Tot va_code val va_codegen_success_Fast_multiply : offset:nat -> Tot va_pbool val va_lemma_Fast_multiply : va_b0:va_code -> va_s0:va_state -> offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_multiply offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))) [@ va_qattr] let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_heap0:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (()))) val va_wpProof_Fast_multiply : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_multiply offset dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) = (va_QProc (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_multiply offset dst_b inA_b inB_b) (va_wpProof_Fast_multiply offset dst_b inA_b inB_b)) //-- //-- Fast_mul_stdcall val va_code_Fast_mul_stdcall : win:bool -> Tot va_code val va_codegen_success_Fast_mul_stdcall : win:bool -> Tot va_pbool val va_lemma_Fast_mul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@ va_qattr] let va_wp_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_rsp:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul_stdcall : win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul_stdcall win dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_mul_stdcall win)) = (va_QProc (va_code_Fast_mul_stdcall win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_mul_stdcall win dst_b inA_b inB_b) (va_wpProof_Fast_mul_stdcall win dst_b inA_b inB_b)) //-- //-- Fast_mul2_stdcall val va_code_Fast_mul2_stdcall : win:bool -> Tot va_code val va_codegen_success_Fast_mul2_stdcall : win:bool -> Tot va_pbool val va_lemma_Fast_mul2_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul2_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 16 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 8 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let a0' = Vale.X64.Decls.buffer64_read inA_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let a1' = Vale.X64.Decls.buffer64_read inA_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let a2' = Vale.X64.Decls.buffer64_read inA_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let a3' = Vale.X64.Decls.buffer64_read inA_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let b0' = Vale.X64.Decls.buffer64_read inB_b (0 + 4) (va_get_mem_heaplet 0 va_s0) in let b1' = Vale.X64.Decls.buffer64_read inB_b (1 + 4) (va_get_mem_heaplet 0 va_s0) in let b2' = Vale.X64.Decls.buffer64_read inB_b (2 + 4) (va_get_mem_heaplet 0 va_s0) in let b3' = Vale.X64.Decls.buffer64_read inB_b (3 + 4) (va_get_mem_heaplet 0 va_s0) in let a' = Vale.Curve25519.Fast_defs.pow2_four a0' a1' a2' a3' in let b' = Vale.Curve25519.Fast_defs.pow2_four b0' b1' b2' b3' in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in let d0' = Vale.X64.Decls.buffer64_read dst_b (0 + 8) (va_get_mem_heaplet 0 va_sM) in let d1' = Vale.X64.Decls.buffer64_read dst_b (1 + 8) (va_get_mem_heaplet 0 va_sM) in let d2' = Vale.X64.Decls.buffer64_read dst_b (2 + 8) (va_get_mem_heaplet 0 va_sM) in let d3' = Vale.X64.Decls.buffer64_read dst_b (3 + 8) (va_get_mem_heaplet 0 va_sM) in let d4' = Vale.X64.Decls.buffer64_read dst_b (4 + 8) (va_get_mem_heaplet 0 va_sM) in let d5' = Vale.X64.Decls.buffer64_read dst_b (5 + 8) (va_get_mem_heaplet 0 va_sM) in let d6' = Vale.X64.Decls.buffer64_read dst_b (6 + 8) (va_get_mem_heaplet 0 va_sM) in let d7' = Vale.X64.Decls.buffer64_read dst_b (7 + 8) (va_get_mem_heaplet 0 va_sM) in let d' = Vale.Curve25519.Fast_defs.pow2_eight d0' d1' d2' d3' d4' d5' d6' d7' in d == va_mul_nat a b /\ d' == va_mul_nat a' b' /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 16 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@ va_qattr] let va_wp_Fast_mul2_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64)
false
true
Vale.Curve25519.X64.FastMul.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_mul2_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastMul.va_wp_Fast_mul2_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastMul.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 10, "end_line": 424, "start_col": 2, "start_line": 357 }
Prims.Tot
val va_wp_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastMul_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_rsp:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
val va_wp_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let dst_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inA_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let inB_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_rdi: nat64) (va_x_rsi: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_r13: nat64) (va_x_r14: nat64) (va_x_rsp: nat64) (va_x_efl: Vale.X64.Flags.t) (va_x_heap0: vale_heap) (va_x_stack: vale_stack) (va_x_stackTaint: memtaint). let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rRsp va_x_rsp (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0 ))))))))))))))))) in va_get_ok va_sM /\ (let dst_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inA_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let inB_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastMul.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Curve25519.X64.FastMul.fsti" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.eq2", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Stack_i.init_rsp", "Vale.X64.Decls.va_get_stack", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Vale.X64.Decls.buffers_disjoint", "Vale.X64.Decls.validDstAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_int_range", "Vale.X64.Decls.va_if", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rR8", "Prims.l_not", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdi", "Prims.l_Forall", "Vale.X64.InsBasic.vale_heap", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Vale.X64.InsBasic.vale_stack", "Vale.X64.Memory.memtaint", "Prims.l_imp", "Prims.int", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR14", "Prims.op_Addition", "Vale.X64.Machine_s.pow2_64", "Vale.X64.Machine_s.pow2_128", "Vale.Curve25519.Fast_defs.pow2_192", "Vale.Curve25519.Fast_defs.pow2_256", "Vale.Curve25519.Fast_defs.pow2_320", "Vale.Curve25519.Fast_defs.pow2_384", "Vale.Curve25519.Fast_defs.pow2_448", "Vale.X64.Decls.buffer64_read", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_stackTaint", "Vale.X64.Decls.va_upd_stack", "Vale.X64.Decls.va_upd_mem_heaplet", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_upd_mem" ]
[]
module Vale.Curve25519.X64.FastMul open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Curve25519.Fast_defs open Vale.X64.CPU_Features_s //-- Fast_multiply val va_code_Fast_multiply : offset:nat -> Tot va_code val va_codegen_success_Fast_multiply : offset:nat -> Tot va_pbool val va_lemma_Fast_multiply : va_b0:va_code -> va_s0:va_state -> offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_multiply offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))) [@ va_qattr] let va_wp_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRcx va_s0) inB_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_heap0:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 0 va_x_heap0 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_eight d0 d1 d2 d3 d4 d5 d6 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (8 + offset `op_Multiply` 2) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset `op_Multiply` 2) (8 + offset `op_Multiply` 2 - 1)) ==> va_k va_sM (()))) val va_wpProof_Fast_multiply : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_multiply offset dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_multiply (offset:nat) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_multiply offset)) = (va_QProc (va_code_Fast_multiply offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Fast_multiply offset dst_b inA_b inB_b) (va_wpProof_Fast_multiply offset dst_b inA_b inB_b)) //-- //-- Fast_mul_stdcall val va_code_Fast_mul_stdcall : win:bool -> Tot va_code val va_codegen_success_Fast_mul_stdcall : win:bool -> Tot va_pbool val va_lemma_Fast_mul_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ Vale.X64.Decls.buffers_disjoint dst_b inA_b /\ Vale.X64.Decls.buffers_disjoint dst_b inB_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) dst_in dst_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) in let d4 = Vale.X64.Decls.buffer64_read dst_b 4 (va_get_mem_heaplet 0 va_sM) in let d5 = Vale.X64.Decls.buffer64_read dst_b 5 (va_get_mem_heaplet 0 va_sM) in let d6 = Vale.X64.Decls.buffer64_read dst_b 6 (va_get_mem_heaplet 0 va_sM) in let d7 = Vale.X64.Decls.buffer64_read dst_b 7 (va_get_mem_heaplet 0 va_sM) in let a = a0 + va_mul_nat pow2_64 a1 + va_mul_nat pow2_128 a2 + va_mul_nat pow2_192 a3 in let b = b0 + va_mul_nat pow2_64 b1 + va_mul_nat pow2_128 b2 + va_mul_nat pow2_192 b3 in let d = d0 + va_mul_nat pow2_64 d1 + va_mul_nat pow2_128 d2 + va_mul_nat pow2_192 d3 + va_mul_nat pow2_256 d4 + va_mul_nat pow2_320 d5 + va_mul_nat pow2_384 d6 + va_mul_nat pow2_448 d7 in d == va_mul_nat a b /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) dst_in dst_b 8 (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0 /\ va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 /\ va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@ va_qattr] let va_wp_Fast_mul_stdcall (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64)
false
true
Vale.Curve25519.X64.FastMul.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_mul_stdcall (win: bool) (dst_b inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastMul.va_wp_Fast_mul_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastMul.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 37, "end_line": 261, "start_col": 2, "start_line": 211 }
Prims.Tot
val va_req_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : prop
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))
val va_req_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : prop let va_req_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : prop =
false
null
false
(va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let in_key1:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let in_key2:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.buffer128", "Prims.l_and", "Vale.PPC64LE.Decls.va_require_total", "Vale.AES.PPC64LE.AES.va_code_KeyExpansionStdcall", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.PPC64LE.Memory.is_initial_heap", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.PPC64LE.Decls.va_get_mem", "Prims.l_or", "Prims.op_Equality", "Vale.AES.AES_common_s.AES_128", "Vale.AES.AES_common_s.AES_256", "Vale.PPC64LE.Decls.buffers_disjoint128", "Vale.PPC64LE.Decls.validSrcAddrs128", "Vale.PPC64LE.Decls.va_get_reg", "Prims.bool", "Prims.int", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.validDstAddrs128", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "FStar.Seq.Base.seq", "Vale.Def.Words_s.nat32", "Vale.AES.AES256_helpers_BE.be_quad32_to_seq", "Vale.AES.AES256_helpers_BE.make_AES256_key", "Vale.Def.Types_s.quad32", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.PPC64LE.Decls.buffer128_read", "Prims.prop" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm)
false
true
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_req_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : prop
[]
Vale.AES.PPC64LE.AES.va_req_KeyExpansionStdcall
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> alg: Vale.AES.AES_common_s.algorithm -> input_key_b: Vale.PPC64LE.Memory.buffer128 -> output_key_expansion_b: Vale.PPC64LE.Memory.buffer128 -> Prims.prop
{ "end_col": 96, "end_line": 40, "start_col": 2, "start_line": 27 }
Prims.Tot
val va_quick_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg))
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) = (va_QProc (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) (va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b) (va_wpProof_KeyExpansionStdcall alg input_key_b output_key_expansion_b))
val va_quick_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) let va_quick_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) =
false
null
false
(va_QProc (va_code_KeyExpansionStdcall alg) ([ va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem ]) (va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b) (va_wpProof_KeyExpansionStdcall alg input_key_b output_key_expansion_b))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.AES.va_code_KeyExpansionStdcall", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Vale.PPC64LE.QuickCode.va_Mod_reg", "Vale.PPC64LE.QuickCode.va_Mod_mem_layout", "Vale.PPC64LE.QuickCode.va_Mod_mem_heaplet", "Vale.PPC64LE.QuickCode.va_Mod_mem", "Prims.Nil", "Vale.AES.PPC64LE.AES.va_wp_KeyExpansionStdcall", "Vale.AES.PPC64LE.AES.va_wpProof_KeyExpansionStdcall", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))) val va_lemma_KeyExpansionStdcall : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@ va_qattr] let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) . let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (()))) val va_wpProof_KeyExpansionStdcall : alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128)
false
false
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg))
[]
Vale.AES.PPC64LE.AES.va_quick_KeyExpansionStdcall
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> input_key_b: Vale.PPC64LE.Memory.buffer128 -> output_key_expansion_b: Vale.PPC64LE.Memory.buffer128 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.AES.va_code_KeyExpansionStdcall alg)
{ "end_col": 76, "end_line": 143, "start_col": 2, "start_line": 140 }
Prims.Tot
val va_quick_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg))
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg)) = (va_QProc (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_AESEncryptBlock alg input key round_keys keys_buffer) (va_wpProof_AESEncryptBlock alg input key round_keys keys_buffer))
val va_quick_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg)) let va_quick_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg)) =
false
null
false
(va_QProc (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_AESEncryptBlock alg input key round_keys keys_buffer) (va_wpProof_AESEncryptBlock alg input key round_keys keys_buffer))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.nat32", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.AES.va_code_AESEncryptBlock", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Vale.PPC64LE.QuickCode.va_Mod_reg", "Prims.Nil", "Vale.AES.PPC64LE.AES.va_wp_AESEncryptBlock", "Vale.AES.PPC64LE.AES.va_wpProof_AESEncryptBlock", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))) val va_lemma_KeyExpansionStdcall : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@ va_qattr] let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) . let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (()))) val va_wpProof_KeyExpansionStdcall : alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) = (va_QProc (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) (va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b) (va_wpProof_KeyExpansionStdcall alg input_key_b output_key_expansion_b)) //-- //-- AESEncryptBlock val va_code_AESEncryptBlock : alg:algorithm -> Tot va_code val va_codegen_success_AESEncryptBlock : alg:algorithm -> Tot va_pbool val va_lemma_AESEncryptBlock : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AESEncryptBlock alg) va_s0 /\ va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))) [@ va_qattr] let va_wp_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) . let va_sM = va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input ==> va_k va_sM (()))) val va_wpProof_AESEncryptBlock : alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AESEncryptBlock alg input key round_keys keys_buffer va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq
false
false
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg))
[]
Vale.AES.PPC64LE.AES.va_quick_AESEncryptBlock
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> input: Vale.PPC64LE.Memory.quad32 -> key: FStar.Seq.Base.seq Vale.PPC64LE.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> keys_buffer: Vale.PPC64LE.Memory.buffer128 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.AES.va_code_AESEncryptBlock alg)
{ "end_col": 38, "end_line": 197, "start_col": 2, "start_line": 195 }
Prims.Tot
val va_wp_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) . let va_sM = va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input ==> va_k va_sM (())))
val va_wp_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i: nat). i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10: nat64) (va_x_v0: quad32) (va_x_v2: quad32). let va_sM = va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input ==> va_k va_sM (())))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.nat32", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.l_or", "Prims.op_Equality", "Vale.AES.AES_common_s.AES_128", "Vale.AES.AES_common_s.AES_256", "Vale.AES.AES_BE_s.is_aes_key_word", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "Vale.Def.Types_s.quad32", "Vale.AES.AES_BE_s.key_to_round_keys_word", "Vale.PPC64LE.Decls.va_get_vec", "Vale.PPC64LE.Decls.va_get_reg", "Vale.PPC64LE.Memory.buffer_addr", "Vale.PPC64LE.Memory.vuint128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.validSrcAddrs128", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Prims.l_Forall", "Prims.nat", "Prims.l_imp", "Prims.op_LessThan", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.PPC64LE.Decls.buffer128_read", "FStar.Seq.Base.index", "Vale.PPC64LE.Memory.nat64", "Vale.AES.AES_BE_s.aes_encrypt_word", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))) val va_lemma_KeyExpansionStdcall : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@ va_qattr] let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) . let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (()))) val va_wpProof_KeyExpansionStdcall : alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) = (va_QProc (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) (va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b) (va_wpProof_KeyExpansionStdcall alg input_key_b output_key_expansion_b)) //-- //-- AESEncryptBlock val va_code_AESEncryptBlock : alg:algorithm -> Tot va_code val va_codegen_success_AESEncryptBlock : alg:algorithm -> Tot va_pbool val va_lemma_AESEncryptBlock : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AESEncryptBlock alg) va_s0 /\ va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))) [@ va_qattr] let va_wp_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq
false
true
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_AESEncryptBlock (alg: algorithm) (input: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.AES.PPC64LE.AES.va_wp_AESEncryptBlock
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> input: Vale.PPC64LE.Memory.quad32 -> key: FStar.Seq.Base.seq Vale.PPC64LE.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> keys_buffer: Vale.PPC64LE.Memory.buffer128 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 77, "end_line": 182, "start_col": 2, "start_line": 171 }
Prims.Tot
val va_quick_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock_6way alg))
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_AESEncryptBlock_6way (alg:algorithm) (in1:quad32) (in2:quad32) (in3:quad32) (in4:quad32) (in5:quad32) (in6:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) : (va_quickCode unit (va_code_AESEncryptBlock_6way alg)) = (va_QProc (va_code_AESEncryptBlock_6way alg) ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_AESEncryptBlock_6way alg in1 in2 in3 in4 in5 in6 key round_keys keys_buffer) (va_wpProof_AESEncryptBlock_6way alg in1 in2 in3 in4 in5 in6 key round_keys keys_buffer))
val va_quick_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock_6way alg)) let va_quick_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock_6way alg)) =
false
null
false
(va_QProc (va_code_AESEncryptBlock_6way alg) ([ va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10 ]) (va_wp_AESEncryptBlock_6way alg in1 in2 in3 in4 in5 in6 key round_keys keys_buffer) (va_wpProof_AESEncryptBlock_6way alg in1 in2 in3 in4 in5 in6 key round_keys keys_buffer))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.nat32", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.AES.va_code_AESEncryptBlock_6way", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Vale.PPC64LE.QuickCode.va_Mod_reg", "Prims.Nil", "Vale.AES.PPC64LE.AES.va_wp_AESEncryptBlock_6way", "Vale.AES.PPC64LE.AES.va_wpProof_AESEncryptBlock_6way", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))) val va_lemma_KeyExpansionStdcall : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@ va_qattr] let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) . let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (()))) val va_wpProof_KeyExpansionStdcall : alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) = (va_QProc (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) (va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b) (va_wpProof_KeyExpansionStdcall alg input_key_b output_key_expansion_b)) //-- //-- AESEncryptBlock val va_code_AESEncryptBlock : alg:algorithm -> Tot va_code val va_codegen_success_AESEncryptBlock : alg:algorithm -> Tot va_pbool val va_lemma_AESEncryptBlock : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AESEncryptBlock alg) va_s0 /\ va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))) [@ va_qattr] let va_wp_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) . let va_sM = va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input ==> va_k va_sM (()))) val va_wpProof_AESEncryptBlock : alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AESEncryptBlock alg input key round_keys keys_buffer va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg)) = (va_QProc (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_AESEncryptBlock alg input key round_keys keys_buffer) (va_wpProof_AESEncryptBlock alg input key round_keys keys_buffer)) //-- //-- AESEncryptBlock_6way val va_code_AESEncryptBlock_6way : alg:algorithm -> Tot va_code val va_codegen_success_AESEncryptBlock_6way : alg:algorithm -> Tot va_pbool val va_lemma_AESEncryptBlock_6way : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> in1:quad32 -> in2:quad32 -> in3:quad32 -> in4:quad32 -> in5:quad32 -> in6:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AESEncryptBlock_6way alg) va_s0 /\ va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == in1 /\ va_get_vec 1 va_s0 == in2 /\ va_get_vec 2 va_s0 == in3 /\ va_get_vec 3 va_s0 == in4 /\ va_get_vec 4 va_s0 == in5 /\ va_get_vec 5 va_s0 == in6 /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in1 /\ va_get_vec 1 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in2 /\ va_get_vec 2 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in3 /\ va_get_vec 3 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in4 /\ va_get_vec 4 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in5 /\ va_get_vec 5 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in6 /\ va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_AESEncryptBlock_6way (alg:algorithm) (in1:quad32) (in2:quad32) (in3:quad32) (in4:quad32) (in5:quad32) (in6:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == in1 /\ va_get_vec 1 va_s0 == in2 /\ va_get_vec 2 va_s0 == in3 /\ va_get_vec 3 va_s0 == in4 /\ va_get_vec 4 va_s0 == in5 /\ va_get_vec 5 va_s0 == in6 /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (va_x_v6:quad32) . let va_sM = va_upd_vec 6 va_x_v6 (va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0))))))) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in1 /\ va_get_vec 1 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in2 /\ va_get_vec 2 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in3 /\ va_get_vec 3 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in4 /\ va_get_vec 4 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in5 /\ va_get_vec 5 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in6 ==> va_k va_sM (()))) val va_wpProof_AESEncryptBlock_6way : alg:algorithm -> in1:quad32 -> in2:quad32 -> in3:quad32 -> in4:quad32 -> in5:quad32 -> in6:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AESEncryptBlock_6way alg in1 in2 in3 in4 in5 in6 key round_keys keys_buffer va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESEncryptBlock_6way alg) ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_AESEncryptBlock_6way (alg:algorithm) (in1:quad32) (in2:quad32) (in3:quad32) (in4:quad32) (in5:quad32) (in6:quad32) (key:(seq nat32)) (round_keys:(seq quad32))
false
false
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) : (va_quickCode unit (va_code_AESEncryptBlock_6way alg))
[]
Vale.AES.PPC64LE.AES.va_quick_AESEncryptBlock_6way
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> in1: Vale.PPC64LE.Memory.quad32 -> in2: Vale.PPC64LE.Memory.quad32 -> in3: Vale.PPC64LE.Memory.quad32 -> in4: Vale.PPC64LE.Memory.quad32 -> in5: Vale.PPC64LE.Memory.quad32 -> in6: Vale.PPC64LE.Memory.quad32 -> key: FStar.Seq.Base.seq Vale.PPC64LE.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> keys_buffer: Vale.PPC64LE.Memory.buffer128 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.AES.va_code_AESEncryptBlock_6way alg)
{ "end_col": 93, "end_line": 273, "start_col": 2, "start_line": 270 }
Prims.Tot
val va_wp_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) . let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (())))
val va_wp_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let in_key1:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let in_key2:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem: vale_heap) (va_x_heap1: vale_heap) (va_x_memLayout: vale_heap_layout) (va_x_r10: nat64) (va_x_v0: quad32) (va_x_v1: quad32) (va_x_v2: quad32) (va_x_v3: quad32) (va_x_v4: quad32) (va_x_v5: quad32). let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))) )))))) in va_get_ok va_sM /\ (let in_key1:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let in_key2:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j. 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (())))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.PPC64LE.Memory.is_initial_heap", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.PPC64LE.Decls.va_get_mem", "Prims.l_or", "Prims.op_Equality", "Vale.AES.AES_common_s.AES_128", "Vale.AES.AES_common_s.AES_256", "Vale.PPC64LE.Decls.buffers_disjoint128", "Vale.PPC64LE.Decls.validSrcAddrs128", "Vale.PPC64LE.Decls.va_get_reg", "Vale.PPC64LE.Decls.va_if", "Prims.int", "Prims.l_not", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.validDstAddrs128", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "FStar.Seq.Base.seq", "Vale.Def.Words_s.nat32", "Vale.Def.Types_s.nat32", "Vale.AES.AES256_helpers_BE.be_quad32_to_seq", "Vale.AES.AES256_helpers_BE.make_AES256_key", "Vale.Def.Types_s.quad32", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.PPC64LE.Decls.buffer128_read", "Prims.l_Forall", "Vale.PPC64LE.InsBasic.vale_heap", "Vale.Arch.HeapImpl.vale_heap_layout", "Vale.PPC64LE.Memory.nat64", "Vale.PPC64LE.Memory.quad32", "Prims.l_imp", "Vale.PPC64LE.Decls.modifies_buffer128", "Prims.op_GreaterThanOrEqual", "Prims.op_LessThan", "FStar.Seq.Base.length", "Vale.AES.AES_BE_s.key_to_round_keys_word", "Prims.op_LessThanOrEqual", "Prims.eq2", "FStar.Seq.Base.index", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg", "Vale.PPC64LE.Decls.va_upd_mem_layout", "Vale.PPC64LE.Decls.va_upd_mem_heaplet", "Vale.PPC64LE.Decls.va_upd_mem" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))) val va_lemma_KeyExpansionStdcall : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@ va_qattr] let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128)
false
true
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_KeyExpansionStdcall (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.AES.PPC64LE.AES.va_wp_KeyExpansionStdcall
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> input_key_b: Vale.PPC64LE.Memory.buffer128 -> output_key_expansion_b: Vale.PPC64LE.Memory.buffer128 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 80, "end_line": 127, "start_col": 2, "start_line": 97 }
Prims.Tot
val va_wp_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_AESEncryptBlock_6way (alg:algorithm) (in1:quad32) (in2:quad32) (in3:quad32) (in4:quad32) (in5:quad32) (in6:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == in1 /\ va_get_vec 1 va_s0 == in2 /\ va_get_vec 2 va_s0 == in3 /\ va_get_vec 3 va_s0 == in4 /\ va_get_vec 4 va_s0 == in5 /\ va_get_vec 5 va_s0 == in6 /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (va_x_v6:quad32) . let va_sM = va_upd_vec 6 va_x_v6 (va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0))))))) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in1 /\ va_get_vec 1 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in2 /\ va_get_vec 2 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in3 /\ va_get_vec 3 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in4 /\ va_get_vec 4 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in5 /\ va_get_vec 5 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in6 ==> va_k va_sM (())))
val va_wp_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == in1 /\ va_get_vec 1 va_s0 == in2 /\ va_get_vec 2 va_s0 == in3 /\ va_get_vec 3 va_s0 == in4 /\ va_get_vec 4 va_s0 == in5 /\ va_get_vec 5 va_s0 == in6 /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i: nat). i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10: nat64) (va_x_v0: quad32) (va_x_v1: quad32) (va_x_v2: quad32) (va_x_v3: quad32) (va_x_v4: quad32) (va_x_v5: quad32) (va_x_v6: quad32). let va_sM = va_upd_vec 6 va_x_v6 (va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0))))))) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in1 /\ va_get_vec 1 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in2 /\ va_get_vec 2 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in3 /\ va_get_vec 3 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in4 /\ va_get_vec 4 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in5 /\ va_get_vec 5 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in6 ==> va_k va_sM (())))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.nat32", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.l_or", "Prims.op_Equality", "Vale.AES.AES_common_s.AES_128", "Vale.AES.AES_common_s.AES_256", "Vale.AES.AES_BE_s.is_aes_key_word", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "Vale.AES.AES_BE_s.key_to_round_keys_word", "Vale.Def.Types_s.quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.PPC64LE.Decls.va_get_reg", "Vale.PPC64LE.Memory.buffer_addr", "Vale.PPC64LE.Memory.vuint128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.validSrcAddrs128", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Prims.l_Forall", "Prims.nat", "Prims.l_imp", "Prims.op_LessThan", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.PPC64LE.Decls.buffer128_read", "FStar.Seq.Base.index", "Vale.PPC64LE.Memory.nat64", "Vale.AES.AES_BE_s.aes_encrypt_word", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))) val va_lemma_KeyExpansionStdcall : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@ va_qattr] let va_wp_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (va_if (alg = AES_128) (fun _ -> 1) (fun _ -> 2)) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) . let va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = va_if (alg = AES_128) (fun _ -> Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1) (fun _ -> Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) ==> va_k va_sM (()))) val va_wpProof_KeyExpansionStdcall : alg:algorithm -> input_key_b:buffer128 -> output_key_expansion_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_KeyExpansionStdcall (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : (va_quickCode unit (va_code_KeyExpansionStdcall alg)) = (va_QProc (va_code_KeyExpansionStdcall alg) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_mem]) (va_wp_KeyExpansionStdcall alg input_key_b output_key_expansion_b) (va_wpProof_KeyExpansionStdcall alg input_key_b output_key_expansion_b)) //-- //-- AESEncryptBlock val va_code_AESEncryptBlock : alg:algorithm -> Tot va_code val va_codegen_success_AESEncryptBlock : alg:algorithm -> Tot va_pbool val va_lemma_AESEncryptBlock : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AESEncryptBlock alg) va_s0 /\ va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))) [@ va_qattr] let va_wp_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == input /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) . let va_sM = va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)) in va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key input ==> va_k va_sM (()))) val va_wpProof_AESEncryptBlock : alg:algorithm -> input:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AESEncryptBlock alg input key round_keys keys_buffer va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_AESEncryptBlock (alg:algorithm) (input:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128) : (va_quickCode unit (va_code_AESEncryptBlock alg)) = (va_QProc (va_code_AESEncryptBlock alg) ([va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_AESEncryptBlock alg input key round_keys keys_buffer) (va_wpProof_AESEncryptBlock alg input key round_keys keys_buffer)) //-- //-- AESEncryptBlock_6way val va_code_AESEncryptBlock_6way : alg:algorithm -> Tot va_code val va_codegen_success_AESEncryptBlock_6way : alg:algorithm -> Tot va_pbool val va_lemma_AESEncryptBlock_6way : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> in1:quad32 -> in2:quad32 -> in3:quad32 -> in4:quad32 -> in5:quad32 -> in6:quad32 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_buffer:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AESEncryptBlock_6way alg) va_s0 /\ va_get_ok va_s0 /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_BE_s.is_aes_key_word alg key /\ FStar.Seq.Base.length #quad32 round_keys == Vale.AES.AES_common_s.nr alg + 1 /\ round_keys == Vale.AES.AES_BE_s.key_to_round_keys_word alg key /\ va_get_vec 0 va_s0 == in1 /\ va_get_vec 1 va_s0 == in2 /\ va_get_vec 2 va_s0 == in3 /\ va_get_vec 3 va_s0 == in4 /\ va_get_vec 4 va_s0 == in5 /\ va_get_vec 5 va_s0 == in6 /\ va_get_reg 4 va_s0 == Vale.PPC64LE.Memory.buffer_addr #Vale.PPC64LE.Memory.vuint128 keys_buffer (va_get_mem_heaplet 0 va_s0) /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg 4 va_s0) keys_buffer (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ (forall (i:nat) . i < Vale.AES.AES_common_s.nr alg + 1 ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read keys_buffer i (va_get_mem_heaplet 0 va_s0)) == FStar.Seq.Base.index #quad32 round_keys i))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_get_vec 0 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in1 /\ va_get_vec 1 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in2 /\ va_get_vec 2 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in3 /\ va_get_vec 3 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in4 /\ va_get_vec 4 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in5 /\ va_get_vec 5 va_sM == Vale.AES.AES_BE_s.aes_encrypt_word alg key in6 /\ va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_AESEncryptBlock_6way (alg:algorithm) (in1:quad32) (in2:quad32) (in3:quad32) (in4:quad32) (in5:quad32) (in6:quad32) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_buffer:buffer128)
false
true
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_AESEncryptBlock_6way (alg: algorithm) (in1 in2 in3 in4 in5 in6: quad32) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_buffer: buffer128) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.AES.PPC64LE.AES.va_wp_AESEncryptBlock_6way
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> in1: Vale.PPC64LE.Memory.quad32 -> in2: Vale.PPC64LE.Memory.quad32 -> in3: Vale.PPC64LE.Memory.quad32 -> in4: Vale.PPC64LE.Memory.quad32 -> in5: Vale.PPC64LE.Memory.quad32 -> in6: Vale.PPC64LE.Memory.quad32 -> key: FStar.Seq.Base.seq Vale.PPC64LE.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> keys_buffer: Vale.PPC64LE.Memory.buffer128 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 72, "end_line": 255, "start_col": 2, "start_line": 235 }
Prims.Tot
val va_ens_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_sM: va_state) (va_fM: va_fuel) : prop
[ { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES256", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.AES128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j . 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))
val va_ens_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_sM: va_state) (va_fM: va_fuel) : prop let va_ens_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_sM: va_state) (va_fM: va_fuel) : prop =
false
null
false
(va_req_KeyExpansionStdcall va_b0 va_s0 alg input_key_b output_key_expansion_b /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let in_key1:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let in_key2:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Decls.modifies_buffer128 output_key_expansion_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (forall j. 0 <= j /\ j <= Vale.AES.AES_common_s.nr alg ==> Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read output_key_expansion_b j (va_get_mem va_sM)) == FStar.Seq.Base.index #Vale.Def.Types_s.quad32 (Vale.AES.AES_BE_s.key_to_round_keys_word alg key) j)) /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.AES.fsti.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.InsVector.fsti.checked", "Vale.PPC64LE.InsMem.fsti.checked", "Vale.PPC64LE.InsBasic.fsti.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.PPC64LE.AES256.fsti.checked", "Vale.AES.PPC64LE.AES128.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "Vale.AES.AES_BE_s.fst.checked", "Vale.AES.AES256_helpers_BE.fsti.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.AES.PPC64LE.AES.fsti" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.AES.AES_common_s.algorithm", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Decls.va_fuel", "Prims.l_and", "Vale.AES.PPC64LE.AES.va_req_KeyExpansionStdcall", "Vale.PPC64LE.Decls.va_ensure_total", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.PPC64LE.Decls.modifies_buffer128", "Vale.PPC64LE.Decls.va_get_mem", "Prims.l_Forall", "Prims.int", "Prims.op_GreaterThanOrEqual", "Prims.op_LessThan", "FStar.Seq.Base.length", "Vale.Def.Types_s.quad32", "Vale.AES.AES_BE_s.key_to_round_keys_word", "Prims.l_imp", "Prims.op_LessThanOrEqual", "Vale.AES.AES_common_s.nr", "Prims.eq2", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.PPC64LE.Decls.buffer128_read", "FStar.Seq.Base.index", "FStar.Seq.Base.seq", "Vale.Def.Words_s.nat32", "Prims.op_Equality", "Vale.AES.AES_common_s.AES_128", "Vale.AES.AES256_helpers_BE.be_quad32_to_seq", "Prims.bool", "Vale.AES.AES256_helpers_BE.make_AES256_key", "Vale.PPC64LE.Decls.va_state_eq", "Vale.PPC64LE.Decls.va_update_vec", "Vale.PPC64LE.Decls.va_update_reg", "Vale.PPC64LE.Decls.va_update_mem_layout", "Vale.PPC64LE.Decls.va_update_mem_heaplet", "Vale.PPC64LE.Decls.va_update_ok", "Vale.PPC64LE.Decls.va_update_mem", "Prims.prop" ]
[]
module Vale.AES.PPC64LE.AES open Vale.Def.Types_s open FStar.Seq open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory open Vale.PPC64LE.State open Vale.PPC64LE.Decls open Vale.PPC64LE.InsBasic open Vale.PPC64LE.InsMem open Vale.PPC64LE.InsVector open Vale.PPC64LE.QuickCode open Vale.PPC64LE.QuickCodes open Vale.Arch.Types open Vale.Def.Opaque_s open Vale.AES.PPC64LE.AES128 open Vale.AES.PPC64LE.AES256 #reset-options "--z3rlimit 20" //-- KeyExpansionStdcall val va_code_KeyExpansionStdcall : alg:algorithm -> Tot va_code val va_codegen_success_KeyExpansionStdcall : alg:algorithm -> Tot va_pbool let va_req_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) : prop = (va_require_total va_b0 (va_code_KeyExpansionStdcall alg) va_s0 /\ va_get_ok va_s0 /\ (let (in_key1:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 0 (va_get_mem va_s0)) in let (in_key2:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.PPC64LE.Decls.buffer128_read input_key_b 1 (va_get_mem va_s0)) in let (key:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = (if (alg = AES_128) then Vale.AES.AES256_helpers_BE.be_quad32_to_seq in_key1 else Vale.AES.AES256_helpers_BE.make_AES256_key in_key1 in_key2) in Vale.PPC64LE.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.PPC64LE.Decls.buffers_disjoint128 input_key_b output_key_expansion_b /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem va_s0) (va_get_reg 4 va_s0) input_key_b (if (alg = AES_128) then 1 else 2) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.validDstAddrs128 (va_get_mem va_s0) (va_get_reg 3 va_s0) output_key_expansion_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret)) let va_ens_KeyExpansionStdcall (va_b0:va_code) (va_s0:va_state) (alg:algorithm) (input_key_b:buffer128) (output_key_expansion_b:buffer128) (va_sM:va_state) (va_fM:va_fuel) :
false
true
Vale.AES.PPC64LE.AES.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_ens_KeyExpansionStdcall (va_b0: va_code) (va_s0: va_state) (alg: algorithm) (input_key_b output_key_expansion_b: buffer128) (va_sM: va_state) (va_fM: va_fuel) : prop
[]
Vale.AES.PPC64LE.AES.va_ens_KeyExpansionStdcall
{ "file_name": "obj/Vale.AES.PPC64LE.AES.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> alg: Vale.AES.AES_common_s.algorithm -> input_key_b: Vale.PPC64LE.Memory.buffer128 -> output_key_expansion_b: Vale.PPC64LE.Memory.buffer128 -> va_sM: Vale.PPC64LE.Decls.va_state -> va_fM: Vale.PPC64LE.Decls.va_fuel -> Prims.prop
{ "end_col": 93, "end_line": 59, "start_col": 2, "start_line": 44 }
Prims.Tot
val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))))))))))))))))
val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool let va_codegen_success_Fast_mul1 offset =
false
null
false
(va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2") (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2") (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx ) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2") (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset ) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2") (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10 ) (va_op_opr64_reg64 rRbx) ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi ) (24 + 8 `op_Multiply` offset ) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11 ) (va_op_opr64_reg64 rR13 )) (va_pbool_and (va_codegen_success_Adcx64Wrap ( va_op_dst_opr64_reg64 rRax ) ( va_op_opr64_reg64 rRcx ) ) (va_ttrue () )) )))))))))))) )))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsBasic.va_codegen_success_NoNewline", "Vale.X64.InsMem.va_codegen_success_Mem64_lemma", "Vale.X64.InsBasic.va_codegen_success_Mulx64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_codegen_success_Space", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_codegen_success_Add64Wrap", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR10", "Vale.X64.InsBasic.va_codegen_success_Adcx64Wrap", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_mul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> Vale.X64.Decls.va_pbool
{ "end_col": 67, "end_line": 88, "start_col": 2, "start_line": 57 }
Prims.Tot
val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))
val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code let va_code_Fast_add_after_mul1_regs () =
false
null
false
(va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax ) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Xor64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsMem.va_code_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_code_Adox64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 19, "end_line": 341, "start_col": 2, "start_line": 328 }
Prims.Tot
val va_code_Fast_mul1 : offset:nat -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))))))))))))))))
val va_code_Fast_mul1 : offset:nat -> Tot va_code let va_code_Fast_mul1 offset =
false
null
false
(va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2") (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2") (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2") (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9 ) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx ) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx )) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax ) (va_op_dst_opr64_reg64 rR11 ) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0 ) (va_op_reg64_reg64 rRsi ) (24 + 8 `op_Multiply` offset ) Secret )) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap ( va_op_dst_opr64_reg64 rR11 ) ( va_op_opr64_reg64 rR13 ) ) (va_CCons ( va_code_Adcx64Wrap ( va_op_dst_opr64_reg64 rRax ) ( va_op_opr64_reg64 rRcx ) ) ( va_CNil () ) )) )))))))))))) )))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_NoNewline", "Vale.X64.InsMem.va_code_Mem64_lemma", "Vale.X64.InsBasic.va_code_Mulx64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_code_Space", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_code_Add64Wrap", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR10", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fast_mul1 : offset:nat -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> Vale.X64.Decls.va_code
{ "end_col": 32, "end_line": 52, "start_col": 2, "start_line": 26 }
Prims.Tot
val va_code_Fast_mul1_add : offset:nat -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))))))))))))))
val va_code_Fast_mul1_add : offset:nat -> Tot va_code let va_code_Fast_mul1_add offset =
false
null
false
(va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13 ) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8 ) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11 ) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi ) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13 )) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi ) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax ) (va_op_opr64_reg64 rRcx )) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax ) (va_op_opr64_reg64 rRcx )) (va_CNil ())) )))))))))))))))) ))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsMem.va_code_Mem64_lemma", "Vale.X64.InsBasic.va_code_Mulx64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_code_Xor64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_code_Adox64Wrap", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fast_mul1_add : offset:nat -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> Vale.X64.Decls.va_code
{ "end_col": 30, "end_line": 557, "start_col": 2, "start_line": 531 }
Prims.Tot
val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ()))))))))))))))))
val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool let va_codegen_success_Carry_sub_pass () =
false
null
false
(va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field") (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38") (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11 ) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap ( va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ()))))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_LargeComment", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_times_38", "Vale.X64.Machine_s.rRcx", "Vale.X64.InsBasic.va_codegen_success_Newline", "Vale.X64.InsBasic.va_codegen_success_Sub64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_codegen_success_Sbb64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.InsBasic.va_codegen_success_Cmovc64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 2, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_sub_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 58, "end_line": 1554, "start_col": 2, "start_line": 1537 }
Prims.Tot
val va_wp_Fast_mul1 (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (())))
val va_wp_Fast_mul1 (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_mul1 (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_rcx: nat64) (va_x_rbx: nat64) (va_x_r13: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))) ) in va_get_ok va_sM /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Prims.l_or", "Prims.eq2", "Prims.int", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Machine_s.rRdx", "Prims.op_LessThan", "Vale.X64.Machine_s.rRax", "Prims.op_Subtraction", "Vale.X64.Machine_s.pow2_64", "Vale.X64.Machine_s.rRcx", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit ->
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_mul1 (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Fast_mul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 42, "end_line": 290, "start_col": 2, "start_line": 267 }
Prims.Tot
val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ())))))))))))))
val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool let va_codegen_success_Fast_add () =
false
null
false
(va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0 ) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10 ) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ())))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsMem.va_codegen_success_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsMem.va_codegen_success_Mem64_lemma", "Vale.X64.InsBasic.va_codegen_success_Add64Wrap", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_codegen_success_Adcx64Wrap", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 96, "end_line": 1740, "start_col": 2, "start_line": 1724 }
Prims.Tot
val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ()))))
val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code let va_code_Carry_times_38 tmp =
false
null
false
(va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ()))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.InsBasic.va_code_Cmovc64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_coerce_dst_opr64_to_opr64", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
tmp: Vale.X64.Decls.va_operand_dst_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 84, "end_line": 1013, "start_col": 2, "start_line": 1012 }
Prims.Tot
val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ()))))))))))))))))
val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code let va_code_Carry_pass use_cf offset =
false
null
false
(va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38") (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum") (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx) ) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst") (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax ) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ()))))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Prims.nat", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38", "Vale.X64.Machine_s.rRdx", "Vale.X64.InsBasic.va_code_Newline", "Vale.X64.InsBasic.va_code_Xor64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Decls.va_CNil", "Vale.X64.InsBasic.va_code_IMul64", "Vale.X64.Decls.va_code", "Vale.X64.InsBasic.va_code_Add64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rR9", "Vale.X64.InsMem.va_code_Store64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.InsBasic.va_code_Cmovc64" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
use_cf: Prims.bool -> offset: Prims.nat -> Vale.X64.Decls.va_code
{ "end_col": 96, "end_line": 1114, "start_col": 2, "start_line": 1089 }
Prims.Tot
val va_wp_Fast_add_after_mul1_regs (inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (())))
val va_wp_Fast_add_after_mul1_regs (inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_add_after_mul1_regs (inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_rbx: nat64) (va_x_r13: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))) )))))) in va_get_ok va_sM /\ (let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Prims.op_LessThan", "Vale.X64.Machine_s.rRax", "Prims.op_Subtraction", "Vale.X64.Machine_s.pow2_64", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit ->
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_add_after_mul1_regs (inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 35, "end_line": 490, "start_col": 2, "start_line": 465 }
Prims.Tot
val va_code_Fadd_stdcall : win:bool -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ())))))
val va_code_Fadd_stdcall : win:bool -> Tot va_code let va_code_Fadd_stdcall win =
false
null
false
(va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx) ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ())))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsStack.va_code_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code", "Vale.Curve25519.X64.FastHybrid.va_code_Fadd", "Vale.X64.InsStack.va_code_Pop_Secret" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fadd_stdcall : win:bool -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fadd_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> Vale.X64.Decls.va_code
{ "end_col": 63, "end_line": 2307, "start_col": 2, "start_line": 2300 }
Prims.Tot
val va_code_Fast_add : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ()))))))))))))))
val va_code_Fast_add : va_dummy:unit -> Tot va_code let va_code_Fast_add () =
false
null
false
(va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0 ) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ()))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsMem.va_code_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsMem.va_code_Mem64_lemma", "Vale.X64.InsBasic.va_code_Add64Wrap", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fast_add : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fast_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 29, "end_line": 1719, "start_col": 2, "start_line": 1705 }
Prims.Tot
val va_code_Fast_sub : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ())))))))))))))))
val va_code_Fast_sub : va_dummy:unit -> Tot va_code let va_code_Fast_sub () =
false
null
false
(va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2") (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11 ) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ())))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsMem.va_code_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsMem.va_code_Mem64_lemma", "Vale.X64.InsBasic.va_code_Sub64Wrap", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_code_Sbb64", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fast_sub : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fast_sub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 30, "end_line": 1953, "start_col": 2, "start_line": 1937 }
Prims.Tot
val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ())))))))))))))))))
val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code let va_code_Carry_sub_pass () =
false
null
false
(va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field") (va_CCons (va_code_Comment "Step 1: Compute carry*38") (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax ) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ())))))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_LargeComment", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38", "Vale.X64.Machine_s.rRcx", "Vale.X64.InsBasic.va_code_Newline", "Vale.X64.InsBasic.va_code_Sub64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_code_Sbb64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.InsBasic.va_code_Cmovc64", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 2, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Carry_sub_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 23, "end_line": 1532, "start_col": 2, "start_line": 1515 }
Prims.Tot
val va_code_Fsub_stdcall : win:bool -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ())))))
val va_code_Fsub_stdcall : win:bool -> Tot va_code let va_code_Fsub_stdcall win =
false
null
false
(va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx) ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ())))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsStack.va_code_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code", "Vale.Curve25519.X64.FastHybrid.va_code_Fsub", "Vale.X64.InsStack.va_code_Pop_Secret" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fsub_stdcall : win:bool -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fsub_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> Vale.X64.Decls.va_code
{ "end_col": 63, "end_line": 2574, "start_col": 2, "start_line": 2567 }
Prims.Tot
val va_code_Fadd : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))
val va_code_Fadd : va_dummy:unit -> Tot va_code let va_code_Fadd () =
false
null
false
(va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2") (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field") (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsMem.va_code_CreateHeaplets", "Vale.X64.InsBasic.va_code_Comment", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add", "Vale.X64.InsBasic.va_code_LargeComment", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass", "Vale.X64.InsMem.va_code_DestroyHeaplets", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fadd : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fadd
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 14, "end_line": 2187, "start_col": 2, "start_line": 2182 }
Prims.Tot
val va_codegen_success_Fsub : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))
val va_codegen_success_Fsub : va_dummy:unit -> Tot va_pbool let va_codegen_success_Fsub () =
false
null
false
(va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsMem.va_codegen_success_CreateHeaplets", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_sub", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_sub_pass", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Store4", "Vale.X64.InsMem.va_codegen_success_DestroyHeaplets", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fsub : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fsub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 12, "end_line": 2478, "start_col": 2, "start_line": 2475 }
Prims.Tot
val va_wp_Fast_add (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (())))
val va_wp_Fast_add (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_add (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rRdx", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Vale.X64.Decls.valid_cf", "Vale.X64.Decls.va_get_flags", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit ->
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_add (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Fast_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 47, "end_line": 1901, "start_col": 2, "start_line": 1869 }
Prims.Tot
val va_codegen_success_Fmul1 : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fmul1 () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_mul1 0) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Carry_pass false 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))))
val va_codegen_success_Fmul1 : va_dummy:unit -> Tot va_pbool let va_codegen_success_Fmul1 () =
false
null
false
(va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_mul1 0) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field") (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38") (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Carry_pass false 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsMem.va_codegen_success_CreateHeaplets", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_mul1", "Vale.X64.InsBasic.va_codegen_success_LargeComment", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_pass", "Vale.X64.InsMem.va_codegen_success_DestroyHeaplets", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fsub_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1009 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1036 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1037 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1041 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1043 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1044 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1048 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1049 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1051 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1052 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1053 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1061 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1063 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1064 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1065 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1066 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1067 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1068 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1069 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1070 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1071 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1072 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1073 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1074 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1075 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1077 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub_stdcall (va_code_Fsub_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fmul1 #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Fmul1 () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fmul1 : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fmul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 64, "end_line": 2754, "start_col": 2, "start_line": 2747 }
Prims.Tot
val va_code_Fmul1 : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fmul1 () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))))
val va_code_Fmul1 : va_dummy:unit -> Tot va_code let va_code_Fmul1 () =
false
null
false
(va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field") (va_CCons (va_code_Comment "Step 1: Compute carry*38") (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsMem.va_code_CreateHeaplets", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1", "Vale.X64.InsBasic.va_code_LargeComment", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass", "Vale.X64.InsMem.va_code_DestroyHeaplets", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fsub_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1009 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1036 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1037 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1041 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1043 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1044 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1048 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1049 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1051 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1052 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1053 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1061 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1063 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1064 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1065 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1066 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1067 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1068 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1069 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1070 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1071 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1072 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1073 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1074 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1075 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1077 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub_stdcall (va_code_Fsub_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fmul1 #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fmul1 : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fmul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 92, "end_line": 2743, "start_col": 2, "start_line": 2737 }
Prims.Tot
val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))
val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool let va_codegen_success_Fast_add_after_mul1_regs () =
false
null
false
(va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0 ) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10 ) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Xor64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsMem.va_codegen_success_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_codegen_success_Adox64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 35, "end_line": 361, "start_col": 2, "start_line": 346 }
Prims.Tot
val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))))))))))))))
val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool let va_codegen_success_Fast_mul1_add offset =
false
null
false
(va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma () ) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11 ) (va_op_opr64_reg64 rR13) ) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax ) (va_op_opr64_reg64 rRcx )) (va_ttrue () )))))))))))) )))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsMem.va_codegen_success_Mem64_lemma", "Vale.X64.InsBasic.va_codegen_success_Mulx64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_codegen_success_Xor64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_codegen_success_Adox64Wrap", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_codegen_success_Adcx64Wrap", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> Vale.X64.Decls.va_pbool
{ "end_col": 65, "end_line": 591, "start_col": 2, "start_line": 562 }
Prims.Tot
val va_qcode_Fast_add_after_mul1_regs (va_mods: va_mods_t) (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (()))))))))))))))
val va_qcode_Fast_add_after_mul1_regs (va_mods: va_mods_t) (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) let va_qcode_Fast_add_after_mul1_regs (va_mods: va_mods_t) (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (()))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsBasic.va_code_Xor64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsMem.va_code_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_code_Adox64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.QuickCodes.va_range1", "Vale.X64.InsBasic.va_quick_Xor64", "Vale.X64.InsMem.va_quick_Load64_buffer", "Vale.X64.InsBasic.va_quick_Adox64Wrap", "Vale.X64.InsBasic.va_quick_Mov64", "Vale.X64.QuickCodes.va_QEmpty", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Decls.va_get_reg64", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Fast_add_after_mul1_regs (va_mods: va_mods_t) (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ()))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs ())
{ "end_col": 21, "end_line": 401, "start_col": 2, "start_line": 366 }
Prims.Tot
val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ())))))))
val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool let va_codegen_success_Store4 () =
false
null
false
(va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result") (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ())))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Newline", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsMem.va_codegen_success_Store64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rR8", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 92, "end_line": 904, "start_col": 2, "start_line": 896 }
Prims.Tot
val va_code_Store4 : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ()))))))))
val va_code_Store4 : va_dummy:unit -> Tot va_code let va_code_Store4 () =
false
null
false
(va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result") (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ()))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Newline", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsMem.va_code_Store64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rR8", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Store4 : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 31, "end_line": 891, "start_col": 2, "start_line": 883 }
Prims.Tot
val va_wp_Fast_mul1_add (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (())))
val va_wp_Fast_mul1_add (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_mul1_add (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a4:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let a5:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let a6:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let a7:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let a':Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx: nat64) (va_x_rax: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_r13: nat64) (va_x_rbx: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0))))) ))) in va_get_ok va_sM /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a4:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let a5:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let a6:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let a7:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let a':Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Prims.l_or", "Prims.eq2", "Prims.int", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rRax", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR13" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit ->
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_mul1_add (offset: nat) (inA_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 55, "end_line": 846, "start_col": 2, "start_line": 811 }
Prims.Tot
val va_wp_Store4 (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (())))
val va_wp_Store4 (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Store4 (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem: vale_heap) (va_x_heap0: vale_heap). let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.Decls.validDstAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Prims.l_Forall", "Vale.X64.InsBasic.vale_heap", "Prims.l_imp", "Prims.eq2", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.buffer64_read", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_mem_heaplet", "Vale.X64.Decls.va_upd_mem" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Store4 (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 100, "end_line": 984, "start_col": 2, "start_line": 975 }
Prims.Tot
val va_qcode_Store4 (va_mods: va_mods_t) (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (())))))))))
val va_qcode_Store4 (va_mods: va_mods_t) (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ())) let va_qcode_Store4 (va_mods: va_mods_t) (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result") (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (())))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsBasic.va_code_Newline", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsMem.va_code_Store64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rR8", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.QuickCodes.va_range1", "Vale.X64.InsBasic.va_quick_Newline", "Vale.X64.InsBasic.va_quick_Comment", "Vale.X64.InsMem.va_quick_Store64_buffer", "Vale.X64.QuickCodes.va_QEmpty", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Store4" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Store4 (va_mods: va_mods_t) (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ()))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> dst_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Store4 ())
{ "end_col": 75, "end_line": 926, "start_col": 2, "start_line": 908 }
Prims.Tot
val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ())))
val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool let va_codegen_success_Carry_times_38 tmp =
false
null
false
(va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.InsBasic.va_codegen_success_Cmovc64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_coerce_dst_opr64_to_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_times_38
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
tmp: Vale.X64.Decls.va_operand_dst_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 19, "end_line": 1020, "start_col": 2, "start_line": 1018 }
Prims.Tot
val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ())))))))))))))))
val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool let va_codegen_success_Carry_pass use_cf offset =
false
null
false
(va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38") (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst") (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax) ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ())))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Prims.nat", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_times_38", "Vale.X64.Machine_s.rRdx", "Vale.X64.InsBasic.va_codegen_success_Newline", "Vale.X64.InsBasic.va_codegen_success_Xor64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Decls.va_ttrue", "Vale.X64.InsBasic.va_codegen_success_IMul64", "Vale.X64.Decls.va_pbool", "Vale.X64.InsBasic.va_codegen_success_Add64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.InsBasic.va_codegen_success_Adcx64Wrap", "Vale.X64.Machine_s.rR9", "Vale.X64.InsMem.va_codegen_success_Store64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.InsBasic.va_codegen_success_Cmovc64" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
use_cf: Prims.bool -> offset: Prims.nat -> Vale.X64.Decls.va_pbool
{ "end_col": 63, "end_line": 1148, "start_col": 2, "start_line": 1119 }
Prims.Tot
val va_quick_Fast_add_after_mul1_regs (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b))
val va_quick_Fast_add_after_mul1_regs (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) let va_quick_Fast_add_after_mul1_regs (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) =
false
null
false
(va_QProc (va_code_Fast_add_after_mul1_regs ()) ([ va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax ]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Fast_add_after_mul1_regs", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_add_after_mul1_regs", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_add_after_mul1_regs (inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ()))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs ())
{ "end_col": 48, "end_line": 522, "start_col": 2, "start_line": 519 }
Prims.Tot
val va_quick_Fast_mul1_add (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b))
val va_quick_Fast_mul1_add (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) let va_quick_Fast_mul1_add (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) =
false
null
false
(va_QProc (va_code_Fast_mul1_add offset) ([ va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx ]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rRcx", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Fast_mul1_add", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_mul1_add", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_mul1_add (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add offset)
{ "end_col": 99, "end_line": 875, "start_col": 2, "start_line": 873 }
Prims.Tot
val va_quick_Fast_mul1 (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b))
val va_quick_Fast_mul1 (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) let va_quick_Fast_mul1 (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) =
false
null
false
(va_QProc (va_code_Fast_mul1 offset) ([ va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax ]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Fast_mul1", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_mul1", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_mul1 (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Fast_mul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1 offset)
{ "end_col": 91, "end_line": 319, "start_col": 2, "start_line": 317 }
Prims.Tot
val va_codegen_success_Carry_wide : offset:nat -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ())))))
val va_codegen_success_Carry_wide : offset:nat -> Tot va_pbool let va_codegen_success_Carry_wide offset =
false
null
false
(va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo") (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ())))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_mul1_add", "Prims.op_Multiply", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_pass", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Carry_wide : offset:nat -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_wide
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> Vale.X64.Decls.va_pbool
{ "end_col": 66, "end_line": 1395, "start_col": 2, "start_line": 1391 }
Prims.Tot
val va_code_Carry_wide : offset:nat -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ()))))))
val va_code_Carry_wide : offset:nat -> Tot va_code let va_code_Carry_wide offset =
false
null
false
(va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo") (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ()))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add", "Prims.op_Multiply", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Carry_wide : offset:nat -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Carry_wide
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> Vale.X64.Decls.va_code
{ "end_col": 21, "end_line": 1387, "start_col": 2, "start_line": 1383 }
Prims.Tot
val va_quick_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b))
val va_quick_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) let va_quick_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) =
false
null
false
(va_QProc (va_code_Carry_pass use_cf offset) ([ va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem ]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Carry_pass", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Carry_pass", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Carry_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
use_cf: Prims.bool -> offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass use_cf offset)
{ "end_col": 48, "end_line": 1375, "start_col": 2, "start_line": 1372 }
Prims.Ghost
val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Store4 dst_b va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_mem_heaplet", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_mem", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Store4", "Vale.Curve25519.X64.FastHybrid.va_code_Store4" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1000, "start_col": 40, "start_line": 993 }
Prims.Tot
val va_quick_Carry_sub_pass: Prims.unit -> (va_quickCode unit (va_code_Carry_sub_pass ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass)
val va_quick_Carry_sub_pass: Prims.unit -> (va_quickCode unit (va_code_Carry_sub_pass ())) let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) =
false
null
false
(va_QProc (va_code_Carry_sub_pass ()) ([ va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax ]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_sub_pass", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Carry_sub_pass", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Carry_sub_pass", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 2, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Carry_sub_pass: Prims.unit -> (va_quickCode unit (va_code_Carry_sub_pass ()))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Carry_sub_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Carry_sub_pass ())
{ "end_col": 30, "end_line": 1696, "start_col": 2, "start_line": 1694 }
Prims.Ghost
val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ))))))); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Fast_add_after_mul1_regs", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 514, "start_col": 58, "start_line": 502 }
Prims.Tot
val va_quick_Fast_add (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b))
val va_quick_Fast_add (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ())) let va_quick_Fast_add (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ())) =
false
null
false
(va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Fast_add", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_add", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ()))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_add (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ()))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Fast_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_add ())
{ "end_col": 11, "end_line": 1928, "start_col": 2, "start_line": 1926 }
Prims.Tot
val va_quick_Fast_sub (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_sub ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b))
val va_quick_Fast_sub (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_sub ())) let va_quick_Fast_sub (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_sub ())) =
false
null
false
(va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_sub", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Fast_sub", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_sub", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ()))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Fast_sub (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_sub ()))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Fast_sub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_sub ())
{ "end_col": 11, "end_line": 2175, "start_col": 2, "start_line": 2173 }
Prims.Ghost
val va_wpProof_Fadd : dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fadd dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fadd ()) ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Fadd : dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fadd dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fadd ()) ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))) ))))); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_mem_layout", "Vale.X64.Decls.va_update_mem_heaplet", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_mem", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Fadd", "Vale.Curve25519.X64.FastHybrid.va_code_Fadd" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Fadd : dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fadd dst_b inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fadd ()) ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Fadd
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 2293, "start_col": 50, "start_line": 2281 }
Prims.Ghost
val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))) )); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rRcx", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Fast_mul1_add", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 868, "start_col": 54, "start_line": 857 }
Prims.Tot
val va_wp_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (())))
val va_wp_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let carry_in:nat64 = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rdx: nat64) (va_x_rcx: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_efl: Vale.X64.Flags.t) (va_x_heap0: vale_heap). let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0)))))))) ) in va_get_ok va_sM /\ (let carry_in:nat64 = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Prims.op_LessThan", "Prims.op_Multiply", "Vale.Curve25519.FastHybrid_helpers.pow2_63", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.valid_cf", "Vale.X64.Decls.va_get_flags", "Vale.X64.Decls.validDstAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Machine_s.rRdi", "Prims.op_Addition", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.va_if", "Vale.X64.Decls.cf", "Vale.X64.Machine_s.rRax", "Prims.l_Forall", "Vale.X64.InsBasic.vale_heap", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Curve25519.Fast_defs.prime", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_mul_nat", "Vale.Curve25519.Fast_defs.pow2_256", "Vale.X64.Decls.modifies_buffer_specific", "Prims.op_Subtraction", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.buffer64_read", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_mem_heaplet", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Decls.va_upd_mem" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Carry_pass (use_cf: bool) (offset: nat) (dst_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Carry_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
use_cf: Prims.bool -> offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 69, "end_line": 1343, "start_col": 2, "start_line": 1320 }
Prims.Tot
val va_qcode_Fsub_stdcall (va_mods: va_mods_t) (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))))
val va_qcode_Fsub_stdcall (va_mods: va_mods_t) (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) let va_qcode_Fsub_stdcall (va_mods: va_mods_t) (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let dst_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let inA_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let inB_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s: va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s: va_state) -> va_QEmpty (())))) (fun (va_s: va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s: va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s: va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s: va_state) -> va_QEmpty (())))) (fun (va_s: va_state) va_g -> va_QEmpty (()))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.QuickCodes.if_code", "Vale.X64.QuickCodes.block", "Vale.X64.InsStack.va_code_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.Curve25519.X64.FastHybrid.va_code_Fsub", "Vale.X64.InsStack.va_code_Pop_Secret", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QBind", "Vale.X64.QuickCodes.va_range1", "Vale.X64.QuickCodes.va_qInlineIf", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.InsStack.va_quick_Push_Secret", "Vale.X64.InsBasic.va_quick_Mov64", "Vale.X64.QuickCodes.va_QEmpty", "Vale.X64.QuickCodes.quickCodes", "Vale.Curve25519.X64.FastHybrid.va_quick_Fsub", "Vale.X64.InsStack.va_quick_Pop_Secret", "Vale.X64.Decls.va_int_range", "Vale.X64.Decls.va_if", "Vale.Def.Types_s.nat64", "Prims.b2t", "Vale.X64.Decls.va_get_reg64", "Prims.l_not", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Fsub_stdcall" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64)
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Fsub_stdcall (va_mods: va_mods_t) (win: bool) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Fsub_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> win: Prims.bool -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fsub_stdcall win)
{ "end_col": 89, "end_line": 2619, "start_col": 2, "start_line": 2591 }
Prims.Tot
val va_qcode_Fast_add (va_mods: va_mods_t) (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (()))))))))))))))))
val va_qcode_Fast_add (va_mods: va_mods_t) (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ())) let va_qcode_Fast_add (va_mods: va_mods_t) (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (()))))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsMem.va_code_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsMem.va_code_Mem64_lemma", "Vale.X64.InsBasic.va_code_Add64Wrap", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Vale.Def.Words_s.nat32", "Prims.eq2", "Vale.Def.Types_s.ixor", "Prims.int", "Vale.Def.Words_s.nat64", "Vale.X64.QuickCodes.va_range1", "Vale.Arch.Types.xor_lemmas", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.InsMem.va_quick_Load64_buffer", "Vale.X64.InsMem.va_quick_Mem64_lemma", "Vale.X64.InsBasic.va_quick_Add64Wrap", "Vale.X64.InsBasic.va_quick_Adcx64Wrap", "Vale.X64.QuickCodes.va_QEmpty", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Fast_add (va_mods: va_mods_t) (inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fast_add ()))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Fast_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_add ())
{ "end_col": 74, "end_line": 1794, "start_col": 2, "start_line": 1745 }
Prims.Tot
val va_qcode_Carry_pass (va_mods: va_mods_t) (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (())))))))))))))))))))))
val va_qcode_Carry_pass (va_mods: va_mods_t) (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) let va_qcode_Carry_pass (va_mods: va_mods_t) (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let carry_in:nat64 = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s: va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38") (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s: va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s: va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst") (va_QEmpty (()))))))) (fun (va_s: va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s: va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let sum:(va_int_at_least 0) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let new_carry:Vale.Curve25519.Fast_defs.bit = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let va_arg52:Vale.Def.Types_s.nat64 = carry_in in let va_arg51:Vale.Def.Types_s.nat64 = va_get_reg64 rR11 va_s in let va_arg50:Vale.Def.Types_s.nat64 = va_get_reg64 rR10 va_s in let va_arg49:Vale.Def.Types_s.nat64 = va_get_reg64 rR9 va_s in let va_arg48:Vale.Def.Types_s.nat64 = va_get_reg64 rR8 va_s in let va_arg47:Vale.Def.Types_s.nat64 = va_get_reg64 rR11 va_old_s in let va_arg46:Vale.Def.Types_s.nat64 = va_get_reg64 rR10 va_old_s in let va_arg45:Vale.Def.Types_s.nat64 = va_get_reg64 rR9 va_old_s in let va_arg44:Vale.Def.Types_s.nat64 = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let a0':nat64 = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax )) (fun (va_s: va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset) ) (va_QEmpty (())) )))))))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Prims.bool", "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.QuickCodes.if_code", "Vale.X64.QuickCodes.block", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38", "Vale.X64.Machine_s.rRdx", "Vale.X64.InsBasic.va_code_Newline", "Vale.X64.InsBasic.va_code_Xor64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.InsBasic.va_code_IMul64", "Vale.X64.InsBasic.va_code_Add64Wrap", "Vale.X64.Machine_s.rR8", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rR9", "Vale.X64.InsMem.va_code_Store64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.InsBasic.va_code_Cmovc64", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QBind", "Vale.X64.QuickCodes.va_range1", "Vale.X64.QuickCodes.va_qInlineIf", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.InsBasic.va_quick_Comment", "Vale.X64.InsBasic.va_quick_Mov64", "Vale.Curve25519.X64.FastHybrid.va_quick_Carry_times_38", "Vale.X64.InsBasic.va_quick_Newline", "Vale.X64.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Vale.Def.Words_s.nat32", "Prims.eq2", "Vale.Def.Types_s.ixor", "Prims.int", "Vale.Def.Words_s.nat64", "Vale.Arch.Types.xor_lemmas", "Vale.X64.InsBasic.va_quick_Xor64", "Vale.X64.QuickCodes.va_QEmpty", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.InsBasic.va_quick_IMul64", "Vale.X64.InsBasic.va_quick_Add64Wrap", "Vale.X64.InsBasic.va_quick_Adcx64Wrap", "Vale.X64.InsMem.va_quick_Store64_buffer", "Vale.X64.QuickCodes.va_qAssert", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Decls.va_get_reg64", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.X64.Decls.va_get_flags", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Curve25519.Fast_defs.bit", "Prims.op_GreaterThanOrEqual", "Vale.Curve25519.Fast_defs.pow2_256", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Subtraction", "Prims.op_Modulus", "Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime", "Vale.X64.InsBasic.va_quick_Cmovc64", "Vale.X64.Decls.va_int_at_least", "Vale.X64.Decls.va_if", "Prims.l_not", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) :
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Carry_pass (va_mods: va_mods_t) (use_cf: bool) (offset: nat) (dst_b: buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Carry_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> use_cf: Prims.bool -> offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass use_cf offset)
{ "end_col": 28, "end_line": 1247, "start_col": 2, "start_line": 1153 }
Prims.Tot
val va_qcode_Fmul1 (va_mods: va_mods_t) (dst_b inA_b: buffer64) (inB: nat64) : (va_quickCode unit (va_code_Fmul1 ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Fmul1 (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB:nat64) : (va_quickCode unit (va_code_Fmul1 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1150 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1154 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1 0 inA_b) (fun (va_s:va_state) _ -> let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg25:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg24:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg23:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1155 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fmul a0 a1 a2 a3 va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 va_arg28) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1156 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_s `op_Multiply` 38 < pow2_63) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1157 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1158 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1159 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1160 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1163 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))))))
val va_qcode_Fmul1 (va_mods: va_mods_t) (dst_b inA_b: buffer64) (inB: nat64) : (va_quickCode unit (va_code_Fmul1 ())) let va_qcode_Fmul1 (va_mods: va_mods_t) (dst_b inA_b: buffer64) (inB: nat64) : (va_quickCode unit (va_code_Fmul1 ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1150 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([ declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable ])) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1154 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1 0 inA_b) (fun (va_s: va_state) _ -> let va_arg28:Vale.Def.Types_s.nat64 = va_get_reg64 rRax va_s in let va_arg27:Vale.Def.Types_s.nat64 = va_get_reg64 rR11 va_s in let va_arg26:Vale.Def.Types_s.nat64 = va_get_reg64 rR10 va_s in let va_arg25:Vale.Def.Types_s.nat64 = va_get_reg64 rR9 va_s in let va_arg24:Vale.Def.Types_s.nat64 = va_get_reg64 rR8 va_s in let va_arg23:Vale.Def.Types_s.nat64 = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1155 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fmul a0 a1 a2 a3 va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 va_arg28) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1156 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ((va_get_reg64 rRax va_s) `op_Multiply` 38 < pow2_63) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1157 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field") (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1158 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38") (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1159 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38) ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1160 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1163 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Vale.X64.Memory.buffer64", "Vale.X64.Memory.nat64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsMem.va_code_CreateHeaplets", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1", "Vale.X64.InsBasic.va_code_LargeComment", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass", "Vale.X64.InsMem.va_code_DestroyHeaplets", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.QuickCodes.va_range1", "Vale.X64.InsMem.va_quick_CreateHeaplets", "Vale.Arch.HeapImpl.buffer_info", "Vale.X64.InsMem.declare_buffer64", "Vale.Arch.HeapTypes_s.Secret", "Vale.Arch.HeapImpl.Immutable", "Vale.Arch.HeapImpl.Mutable", "Vale.X64.QuickCodes.va_QBind", "Vale.Curve25519.X64.FastHybrid.va_quick_Fast_mul1", "Vale.X64.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.eq2", "Prims.int", "Vale.Curve25519.Fast_defs.pow2_five", "Prims.op_Multiply", "Vale.Curve25519.Fast_defs.pow2_four", "Prims.b2t", "Prims.op_LessThan", "Prims.l_Forall", "Prims.l_imp", "Vale.Curve25519.FastHybrid_helpers.lemma_fmul", "Vale.X64.QuickCodes.va_qAssert", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.Curve25519.FastHybrid_helpers.pow2_63", "Vale.X64.InsBasic.va_quick_LargeComment", "Vale.X64.InsBasic.va_quick_Comment", "Vale.X64.InsBasic.va_quick_Mov64", "Vale.Curve25519.X64.FastHybrid.va_quick_Carry_pass", "Vale.X64.InsMem.va_quick_DestroyHeaplets", "Vale.X64.QuickCodes.va_QEmpty", "Vale.Def.Words_s.nat64", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.QuickCodes.quickCodes", "Prims.nat", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Fmul1" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fsub_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1009 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1036 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1037 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1041 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1043 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1044 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1048 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1049 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1051 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1052 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1053 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1061 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1063 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1064 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1065 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1066 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1067 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1068 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1069 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1070 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1071 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1072 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1073 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1074 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1075 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1077 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub_stdcall (va_code_Fsub_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fmul1 #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Fmul1 () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fmul1 () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_mul1 0) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Carry_pass false 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fmul1 (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB:nat64) :
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Fmul1 (va_mods: va_mods_t) (dst_b inA_b: buffer64) (inB: nat64) : (va_quickCode unit (va_code_Fmul1 ()))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Fmul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB: Vale.X64.Memory.nat64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fmul1 ())
{ "end_col": 60, "end_line": 2793, "start_col": 2, "start_line": 2759 }
Prims.Ghost
val va_wpProof_Carry_wide : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_wide offset dst_b inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_wide offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Carry_wide : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_wide offset dst_b inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_wide offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))) )))))))))); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_mem_heaplet", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_mem", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Carry_wide", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_wide" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Carry_wide : offset:nat -> dst_b:buffer64 -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_wide offset dst_b inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_wide offset) ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Carry_wide
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1505, "start_col": 57, "start_line": 1493 }
Prims.Ghost
val va_lemma_Fsub : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fsub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a - b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fsub : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fsub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a - b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fsub", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.prime", "Prims.op_Subtraction", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Decls.va_get_mem", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fsub" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fsub : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fsub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a - b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fsub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 2545, "start_col": 49, "start_line": 2509 }
Prims.Ghost
val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM)
val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) let va_lemma_Carry_times_38 va_b0 va_s0 tmp =
false
null
false
va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let va_old_s:va_state = va_s0 in let va_b1:va_codes = va_get_block va_b0 in let va_s3, va_fc3 = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let va_s4, va_fc4 = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let va_sM, va_f4 = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_lemma_merge_total", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_lemma_empty_total", "Prims.list", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_tl", "Vale.X64.InsBasic.va_lemma_Cmovc64", "Vale.X64.Decls.va_hd", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_coerce_dst_opr64_to_opr64", "Vale.X64.InsBasic.va_lemma_Mov64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.Decls.va_get_block", "Prims.unit", "Vale.X64.Decls.va_reveal_opaque", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"]
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Carry_times_38
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> tmp: Vale.X64.Decls.va_operand_dst_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 1047, "start_col": 2, "start_line": 1036 }
Prims.Ghost
val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) let va_lemma_Carry_sub_pass va_b0 va_s0 =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok ] in let va_qc = va_qcode_Carry_sub_pass va_mods in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ((Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM)) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0) )) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_sub_pass", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.X64.Decls.va_get_reg64", "Vale.Curve25519.Fast_defs.prime", "Prims.op_Subtraction", "Vale.X64.Decls.va_mul_nat", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.X64.Decls.va_get_flags", "Vale.Curve25519.Fast_defs.pow2_256", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Carry_sub_pass" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 2, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Carry_sub_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 1657, "start_col": 41, "start_line": 1639 }
Prims.Ghost
val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok ] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.QuickCode.va_Mod_ok", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Addition", "Vale.X64.Decls.valid_cf", "Vale.X64.Decls.va_get_flags", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Decls.va_get_reg64", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fast_add" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fast_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 1864, "start_col": 47, "start_line": 1834 }
Prims.Ghost
val va_lemma_Fmul1 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB:nat64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fmul1 ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ va_get_reg64 rRdx va_s0 == inB /\ (adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRdx va_s0 < 131072))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a (va_get_reg64 rRdx va_s0) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fmul1 va_b0 va_s0 dst_b inA_b inB = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fmul1 va_mods dst_b inA_b inB in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fmul1 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1100 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1141 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1142 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1143 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1144 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1145 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1146 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == va_mul_nat a (va_get_reg64 rRdx va_s0) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1148 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fmul1 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB:nat64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fmul1 ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ va_get_reg64 rRdx va_s0 == inB /\ (adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRdx va_s0 < 131072))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a (va_get_reg64 rRdx va_s0) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))) let va_lemma_Fmul1 va_b0 va_s0 dst_b inA_b inB =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ] in let va_qc = va_qcode_Fmul1 va_mods dst_b inA_b inB in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fmul1 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1100 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1141 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1142 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1143 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1144 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1145 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1146 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (va_mul_nat a (va_get_reg64 rRdx va_s0)) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1148 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Memory.buffer64", "Vale.X64.Memory.nat64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fmul1", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.prime", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Decls.va_get_mem", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fmul1" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fsub_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1009 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1036 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1037 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1041 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1043 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1044 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1048 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1049 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1051 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1052 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1053 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1061 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1063 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1064 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1065 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1066 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1067 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1068 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1069 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1070 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1071 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1072 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1073 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1074 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1075 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1077 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub_stdcall (va_code_Fsub_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fmul1 #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Fmul1 () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fmul1 () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_mul1 0) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Carry_pass false 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fmul1 (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB:nat64) : (va_quickCode unit (va_code_Fmul1 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1150 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1154 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1 0 inA_b) (fun (va_s:va_state) _ -> let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg25:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg24:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg23:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1155 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fmul a0 a1 a2 a3 va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 va_arg28) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1156 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_s `op_Multiply` 38 < pow2_63) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1157 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1158 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1159 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1160 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1163 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fmul1 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB:nat64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fmul1 ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ va_get_reg64 rRdx va_s0 == inB /\ (adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRdx va_s0 < 131072))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == va_mul_nat a (va_get_reg64 rRdx va_s0) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fmul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB: Vale.X64.Memory.nat64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 2831, "start_col": 48, "start_line": 2798 }
Prims.Tot
val va_wp_Carry_sub_pass (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (())))
val va_wp_Carry_sub_pass (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Carry_sub_pass (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax: nat64) (va_x_rcx: nat64) (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM)) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Vale.X64.Decls.valid_cf", "Vale.X64.Decls.va_get_flags", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.eq2", "Prims.int", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.Curve25519.Fast_defs.prime", "Prims.op_Subtraction", "Vale.X64.Decls.va_mul_nat", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.Curve25519.Fast_defs.pow2_256", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 2, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Carry_sub_pass (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Carry_sub_pass
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 44, "end_line": 1671, "start_col": 2, "start_line": 1661 }
Prims.Ghost
val va_lemma_Fadd : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fadd ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a + b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fadd : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fadd ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a + b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))) let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fadd", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.prime", "Prims.op_Addition", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Decls.va_get_mem", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fadd" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fadd : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fadd ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a + b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fadd
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 2277, "start_col": 49, "start_line": 2241 }
Prims.Tot
val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ()))))))))))))))
val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool let va_codegen_success_Fast_sub () =
false
null
false
(va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2") (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10 ) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ()))))))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.X64.InsMem.va_codegen_success_Load64_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRsi", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsMem.va_codegen_success_Mem64_lemma", "Vale.X64.InsBasic.va_codegen_success_Sub64Wrap", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_codegen_success_Sbb64", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_sub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 97, "end_line": 1976, "start_col": 2, "start_line": 1958 }
Prims.Tot
val va_wp_Fast_sub (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (())))
val va_wp_Fast_sub (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Fast_sub (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsi", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.Machine_s.rRdx", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.eq2", "Prims.int", "Prims.op_Subtraction", "Vale.X64.Decls.va_mul_nat", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.X64.Decls.va_get_flags", "Vale.Curve25519.Fast_defs.pow2_256", "Vale.X64.Decls.valid_cf", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit ->
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Fast_sub (inA_b inB_b: buffer64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Fast_sub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 10, "end_line": 2148, "start_col": 2, "start_line": 2116 }
Prims.Ghost
val va_lemma_Fadd_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fadd_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a + b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fadd_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fadd_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a + b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))) let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b =
false
null
false
let va_mods:va_mods_t = [ va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let dst_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inA_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let inB_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0))) ))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_stackTaint", "Vale.X64.QuickCode.va_Mod_stack", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR15", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRsp", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fadd_stdcall", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Modulus", "Vale.Curve25519.Fast_defs.prime", "Prims.op_Addition", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Decls.va_get_mem", "Prims.l_imp", "Vale.Def.Types_s.nat64", "Vale.X64.Decls.va_get_reg64", "Prims.l_not", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_int_range", "Vale.X64.Decls.va_if", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fadd_stdcall" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fadd_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> dst_b:buffer64 -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fadd_stdcall win) va_s0 /\ va_get_ok va_s0 /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (adx_enabled /\ bmi2_enabled) /\ (Vale.X64.Decls.buffers_disjoint dst_b inA_b \/ dst_b == inA_b) /\ (Vale.X64.Decls.buffers_disjoint dst_b inB_b \/ dst_b == inB_b) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) dst_in dst_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inA_in inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inB_in inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in d `op_Modulus` prime == (a + b) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fadd_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> win: Prims.bool -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 2440, "start_col": 61, "start_line": 2357 }
Prims.Tot
val va_qcode_Fast_mul1_add (va_mods: va_mods_t) (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (())))))))))))))))))))))))))))))))))
val va_qcode_Fast_mul1_add (va_mods: va_mods_t) (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) let va_qcode_Fast_mul1_add (va_mods: va_mods_t) (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let a4:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let a5:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let a6:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let a7:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let a':Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s: va_state) _ -> let va_arg100:Vale.Def.Types_s.nat64 = va_get_reg64 rRdx va_s in let va_arg99:Vale.Def.Types_s.nat64 = va_get_reg64 rR8 va_s in let va_arg98:Vale.Def.Types_s.nat64 = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let ba4_hi:nat64 = va_get_reg64 rR13 va_s in let ba4_lo:nat64 = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s: va_state) _ -> let va_arg97:Vale.Def.Types_s.nat64 = va_get_reg64 rRdx va_s in let va_arg96:Vale.Def.Types_s.nat64 = va_get_reg64 rR9 va_s in let va_arg95:Vale.Def.Types_s.nat64 = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let ba5_hi:nat64 = va_get_reg64 rRbx va_s in let ba5_lo:nat64 = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9 ) (va_op_opr64_reg64 rR13)) (fun (va_s: va_state) _ -> let s1:nat64 = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8 ) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10 ) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi ) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s: va_state) _ -> let va_arg94:Vale.Def.Types_s.nat64 = va_get_reg64 rRdx va_s in let va_arg93:Vale.Def.Types_s.nat64 = va_get_reg64 rR10 va_s in let va_arg92:Vale.Def.Types_s.nat64 = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let ba6_hi:nat64 = va_get_reg64 rR13 va_s in let ba6_lo:nat64 = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s: va_state) _ -> let s2:nat64 = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi ) (16 + offset `op_Multiply` 8) inA_b (2 + offset ) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10 ) (va_opr_code_Mem64 ( va_op_heaplet_mem_heaplet 0 ) ( va_op_reg64_reg64 rRsi ) ( 16 + offset `op_Multiply` 8 ) Secret )) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma ( va_op_heaplet_mem_heaplet 0 ) ( va_op_reg64_reg64 rRsi ) ( 56 + offset `op_Multiply` 8 ) inA_b ( 7 + offset ) Secret ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( va_quick_Mulx64 ( va_op_dst_opr64_reg64 rRax ) ( va_op_dst_opr64_reg64 rR11 ) ( va_opr_code_Mem64 ( va_op_heaplet_mem_heaplet 0 ) ( va_op_reg64_reg64 rRsi ) ( 56 + offset `op_Multiply` 8 ) Secret ) ) ( fun ( va_s: va_state ) _ -> let va_arg91:Vale.Def.Types_s.nat64 = va_get_reg64 rRdx va_s in let va_arg90:Vale.Def.Types_s.nat64 = va_get_reg64 rR11 va_s in let va_arg89:Vale.Def.Types_s.nat64 = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( fun ( _: unit ) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7 ) ( let ba7_hi:nat64 = va_get_reg64 rRax va_s in let ba7_lo:nat64 = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( va_quick_Adcx64Wrap ( va_op_dst_opr64_reg64 rR11 ) ( va_op_opr64_reg64 rR13 ) ) ( fun ( va_s: va_state ) _ -> let s3:nat64 = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( va_quick_Mem64_lemma ( va_op_heaplet_mem_heaplet 0 ) ( va_op_reg64_reg64 rRsi ) ( 24 + offset `op_Multiply` 8 ) inA_b ( 3 + offset ) Secret ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( va_quick_Adox64Wrap ( va_op_dst_opr64_reg64 rR11 ) ( va_opr_code_Mem64 ( va_op_heaplet_mem_heaplet 0 ) ( va_op_reg64_reg64 rRsi ) ( 24 + offset `op_Multiply` 8 ) Secret ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( va_quick_Adcx64Wrap ( va_op_dst_opr64_reg64 rRax ) ( va_op_opr64_reg64 rRcx ) ) ( fun ( va_s: va_state ) _ -> let s4:nat64 = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( va_quick_Adox64Wrap ( va_op_dst_opr64_reg64 rRax ) ( va_op_opr64_reg64 rRcx ) ) ( fun ( va_s: va_state ) _ -> let carry_bit:Vale.Curve25519.Fast_defs.bit = Vale.Curve25519.Fast_defs.bool_bit ( Vale.X64.Decls.cf ( va_get_flags va_s ) ) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( carry_bit == 0 ) ( let va_arg88:Vale.Def.Types_s.nat64 = s4 in let va_arg87:Vale.Def.Types_s.nat64 = s3 in let va_arg86:Vale.Def.Types_s.nat64 = s2 in let va_arg85:Vale.Def.Types_s.nat64 = s1 in let va_arg84:Vale.Def.Types_s.nat64 = ba7_lo in let va_arg83:Vale.Def.Types_s.nat64 = ba7_hi in let va_arg82:Vale.Def.Types_s.nat64 = ba6_lo in let va_arg81:Vale.Def.Types_s.nat64 = ba6_hi in let va_arg80:Vale.Def.Types_s.nat64 = ba5_lo in let va_arg79:Vale.Def.Types_s.nat64 = ba5_hi in let va_arg78:Vale.Def.Types_s.nat64 = ba4_lo in let va_arg77:Vale.Def.Types_s.nat64 = ba4_hi in let va_arg76:Vale.Def.Types_s.nat64 = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( fun ( _: unit ) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88 ) ( let d:Prims.nat = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let va_arg75:Vale.Def.Types_s.nat64 = va_get_reg64 rRax va_s in let va_arg74:Vale.Def.Types_s.nat64 = va_get_reg64 rR11 va_s in let va_arg73:Vale.Def.Types_s.nat64 = va_get_reg64 rR10 va_s in let va_arg72:Vale.Def.Types_s.nat64 = va_get_reg64 rR9 va_s in let va_arg71:Vale.Def.Types_s.nat64 = va_get_reg64 rR8 va_s in let va_arg70:Vale.Def.Types_s.nat64 = s4 in let va_arg69:Vale.Def.Types_s.nat64 = s3 in let va_arg68:Vale.Def.Types_s.nat64 = s2 in let va_arg67:Vale.Def.Types_s.nat64 = s1 in let va_arg66:Vale.Def.Types_s.nat64 = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" ( fun ( _: unit ) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75 ) ( va_QEmpty ( () ) ) ) ) ) ) ) ) ) ) ) )) )))))))))))) ))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsMem.va_code_Mem64_lemma", "Vale.X64.InsBasic.va_code_Mulx64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_opr_code_Mem64", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.Machine_s.rRsi", "Prims.op_Addition", "Prims.op_Multiply", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.InsBasic.va_code_Xor64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.InsBasic.va_code_Adox64Wrap", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR9", "Vale.X64.InsBasic.va_code_Adcx64Wrap", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR11", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Vale.Def.Words_s.nat32", "Prims.eq2", "Vale.Def.Types_s.ixor", "Prims.int", "Vale.Def.Words_s.nat64", "Vale.X64.QuickCodes.va_range1", "Vale.Arch.Types.xor_lemmas", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.InsMem.va_quick_Mem64_lemma", "Vale.X64.QuickCodes.va_QBind", "Vale.X64.InsBasic.va_quick_Mulx64", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Subtraction", "Prims.l_or", "Prims.op_LessThanOrEqual", "Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds", "Vale.X64.InsBasic.va_quick_Xor64", "Vale.X64.InsBasic.va_quick_Adox64Wrap", "Vale.X64.InsBasic.va_quick_Adcx64Wrap", "Vale.X64.QuickCodes.va_qAssert", "Prims.op_Equality", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Curve25519.Fast_defs.add_carry", "Prims.op_BarBar", "Prims.logical", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1", "Vale.Curve25519.FastHybrid_helpers.lemma_addition", "Vale.X64.QuickCodes.va_QEmpty", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRdx", "Vale.Curve25519.Fast_defs.bit", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.X64.Decls.va_get_flags", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Fast_mul1_add (va_mods: va_mods_t) (offset: nat) (inA_b: buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add offset)
{ "end_col": 40, "end_line": 731, "start_col": 2, "start_line": 596 }
Prims.Tot
val va_codegen_success_Fadd : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))))
val va_codegen_success_Fadd : va_dummy:unit -> Tot va_pbool let va_codegen_success_Fadd () =
false
null
false
(va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2") (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field") (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsMem.va_codegen_success_CreateHeaplets", "Vale.X64.InsBasic.va_codegen_success_Comment", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fast_add", "Vale.X64.InsBasic.va_codegen_success_LargeComment", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Carry_pass", "Vale.X64.InsMem.va_codegen_success_DestroyHeaplets", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fadd : va_dummy:unit -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fadd
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 63, "end_line": 2196, "start_col": 2, "start_line": 2191 }
Prims.Ghost
val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) )); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Fast_mul1", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Fast_mul1
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 312, "start_col": 50, "start_line": 301 }
Prims.Tot
val va_wp_Carry_times_38 (tmp: va_operand_dst_opr64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (())))
val va_wp_Carry_times_38 (tmp: va_operand_dst_opr64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Carry_times_38 (tmp: va_operand_dst_opr64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp: va_value_dst_opr64) (va_x_rax: nat64). let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (())))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_is_dst_dst_opr64", "Vale.X64.Decls.va_get_ok", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Prims.l_not", "Vale.X64.Machine_s.operand", "Vale.X64.Machine_s.nat64", "Vale.X64.Machine_s.reg_64", "Vale.X64.Machine_s.OReg", "Vale.X64.Decls.valid_cf", "Vale.X64.Decls.va_get_flags", "Prims.l_Forall", "Vale.X64.Decls.va_value_dst_opr64", "Vale.X64.Memory.nat64", "Prims.l_imp", "Prims.op_Multiply", "Vale.Curve25519.Fast_defs.bool_bit", "Vale.X64.Decls.cf", "Vale.X64.Decls.va_eval_dst_opr64", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Decls.va_upd_operand_dst_opr64" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit ->
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Carry_times_38 (tmp: va_operand_dst_opr64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Curve25519.X64.FastHybrid.va_wp_Carry_times_38
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
tmp: Vale.X64.Decls.va_operand_dst_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 60, "end_line": 1058, "start_col": 2, "start_line": 1052 }
Prims.Tot
val va_quick_Store4 (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b))
val va_quick_Store4 (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ())) let va_quick_Store4 (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ())) =
false
null
false
(va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Memory.buffer64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Store4", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Store4", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Store4", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Store4 (dst_b: buffer64) : (va_quickCode unit (va_code_Store4 ()))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Store4 ())
{ "end_col": 30, "end_line": 1005, "start_col": 2, "start_line": 1004 }
Prims.Tot
val va_codegen_success_Fadd_stdcall : win:bool -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ()))))
val va_codegen_success_Fadd_stdcall : win:bool -> Tot va_pbool let va_codegen_success_Fadd_stdcall win =
false
null
false
(va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ()))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsStack.va_codegen_success_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fadd", "Vale.X64.InsStack.va_codegen_success_Pop_Secret" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fadd_stdcall : win:bool -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fadd_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> Vale.X64.Decls.va_pbool
{ "end_col": 33, "end_line": 2319, "start_col": 2, "start_line": 2311 }
Prims.Ghost
val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Carry_times_38 tmp va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)) )); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.Curve25519.X64.FastHybrid.va_lemma_Carry_times_38", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.Curve25519.X64.FastHybrid.va_wpProof_Carry_times_38
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
tmp: Vale.X64.Decls.va_operand_dst_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1075, "start_col": 46, "start_line": 1068 }
Prims.Tot
val va_quick_Carry_times_38 (tmp: va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp))
val va_quick_Carry_times_38 (tmp: va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) let va_quick_Carry_times_38 (tmp: va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) =
false
null
false
(va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Vale.Curve25519.X64.FastHybrid.va_wp_Carry_times_38", "Vale.Curve25519.X64.FastHybrid.va_wpProof_Carry_times_38", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Carry_times_38 (tmp: va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp))
[]
Vale.Curve25519.X64.FastHybrid.va_quick_Carry_times_38
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
tmp: Vale.X64.Decls.va_operand_dst_opr64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Carry_times_38 tmp)
{ "end_col": 63, "end_line": 1081, "start_col": 2, "start_line": 1080 }
Prims.Ghost
val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) let va_lemma_Store4 va_b0 va_s0 dst_b =
false
null
false
let va_mods:va_mods_t = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Store4", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.Def.Types_s.nat64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR11", "Vale.X64.Decls.modifies_buffer", "Vale.X64.Decls.validSrcAddrs64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Store4" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Store4
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 971, "start_col": 39, "start_line": 944 }
Prims.Tot
val va_code_Fsub : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))
val va_code_Fsub : va_dummy:unit -> Tot va_code let va_code_Fsub () =
false
null
false
(va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))) )))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsMem.va_code_CreateHeaplets", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_sub", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_sub_pass", "Vale.Curve25519.X64.FastHybrid.va_code_Store4", "Vale.X64.InsMem.va_code_DestroyHeaplets", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fsub : va_dummy:unit -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fsub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 26, "end_line": 2471, "start_col": 2, "start_line": 2469 }
Prims.Tot
val va_qcode_Fsub (va_mods: va_mods_t) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))
val va_qcode_Fsub (va_mods: va_mods_t) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub ())) let va_qcode_Fsub (va_mods: va_mods_t) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([ declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable ])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (()))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsMem.va_code_CreateHeaplets", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_sub", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_sub_pass", "Vale.Curve25519.X64.FastHybrid.va_code_Store4", "Vale.X64.InsMem.va_code_DestroyHeaplets", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.QuickCodes.va_range1", "Vale.X64.InsMem.va_quick_CreateHeaplets", "Vale.Arch.HeapImpl.buffer_info", "Vale.X64.InsMem.declare_buffer64", "Vale.Arch.HeapTypes_s.Secret", "Vale.Arch.HeapImpl.Immutable", "Vale.Arch.HeapImpl.Mutable", "Vale.Curve25519.X64.FastHybrid.va_quick_Fast_sub", "Vale.Curve25519.X64.FastHybrid.va_quick_Carry_sub_pass", "Vale.Curve25519.X64.FastHybrid.va_quick_Store4", "Vale.X64.InsMem.va_quick_DestroyHeaplets", "Vale.X64.QuickCodes.va_QEmpty", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Fsub" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) :
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Fsub (va_mods: va_mods_t) (dst_b inA_b inB_b: buffer64) : (va_quickCode unit (va_code_Fsub ()))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Fsub
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> inB_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Fsub ())
{ "end_col": 56, "end_line": 2504, "start_col": 2, "start_line": 2483 }
Prims.Tot
val va_codegen_success_Fsub_stdcall : win:bool -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ()))))
val va_codegen_success_Fsub_stdcall : win:bool -> Tot va_pbool let va_codegen_success_Fsub_stdcall win =
false
null
false
(va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ()))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsStack.va_codegen_success_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fsub", "Vale.X64.InsStack.va_codegen_success_Pop_Secret" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 60, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fsub_stdcall : win:bool -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fsub_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> Vale.X64.Decls.va_pbool
{ "end_col": 33, "end_line": 2586, "start_col": 2, "start_line": 2578 }
Prims.Ghost
val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok ] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let b0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let b1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let b2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let b3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let b:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_add_after_mul1_regs", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Addition", "Prims.nat", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.X64.Decls.va_get_reg64", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fast_add_after_mul1_regs" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fast_add_after_mul1_regs
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> inB_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 460, "start_col": 57, "start_line": 433 }
Prims.Ghost
val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b =
false
null
false
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok ] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let a4:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let a5:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let a6:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let a7:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let a':Prims.nat = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rRcx", "Vale.X64.QuickCode.va_Mod_ok", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.int", "Prims.op_Addition", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRdx", "Vale.Curve25519.Fast_defs.pow2_five", "Vale.Curve25519.Fast_defs.pow2_four", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.QuickCode.quickCode", "Vale.Curve25519.X64.FastHybrid.va_qcode_Fast_mul1_add" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))))
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))))
[]
Vale.Curve25519.X64.FastHybrid.va_lemma_Fast_mul1_add
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> offset: Prims.nat -> inA_b: Vale.X64.Memory.buffer64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 806, "start_col": 53, "start_line": 773 }
Prims.Tot
val va_codegen_success_Fmul1_stdcall : win:bool -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Fmul1_stdcall win = (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ())))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fmul1 ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_ttrue ()) else va_ttrue ()) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ()))))))))))
val va_codegen_success_Fmul1_stdcall : win:bool -> Tot va_pbool let va_codegen_success_Fmul1_stdcall win =
false
null
false
(va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ())))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fmul1 ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi) ) (va_ttrue ()) else va_ttrue ()) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rR13 )) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi )) (va_ttrue ()))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsStack.va_codegen_success_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool", "Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fmul1", "Vale.X64.InsStack.va_codegen_success_Pop_Secret" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fsub_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1009 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1036 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1037 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1041 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1043 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1044 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1048 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1049 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1051 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1052 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1053 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1061 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1063 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1064 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1065 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1066 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1067 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1068 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1069 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1070 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1071 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1072 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1073 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1074 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1075 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1077 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub_stdcall (va_code_Fsub_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fmul1 #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Fmul1 () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fmul1 () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_mul1 0) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Carry_pass false 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fmul1 (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB:nat64) : (va_quickCode unit (va_code_Fmul1 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1150 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1154 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1 0 inA_b) (fun (va_s:va_state) _ -> let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg25:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg24:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg23:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1155 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fmul a0 a1 a2 a3 va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 va_arg28) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1156 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_s `op_Multiply` 38 < pow2_63) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1157 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1158 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1159 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1160 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1163 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Fmul1 va_b0 va_s0 dst_b inA_b inB = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fmul1 va_mods dst_b inA_b inB in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fmul1 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1100 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1141 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1142 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1143 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1144 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1145 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1146 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == va_mul_nat a (va_get_reg64 rRdx va_s0) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1148 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fmul1 dst_b inA_b inB va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fmul1 (va_code_Fmul1 ()) va_s0 dst_b inA_b inB in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Fmul1_stdcall #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Fmul1_stdcall win = (va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ()))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fmul1 ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CNil ())) else va_Block (va_CNil ())) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))))))))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Fmul1_stdcall : win:bool -> Tot va_pbool
[]
Vale.Curve25519.X64.FastHybrid.va_codegen_success_Fmul1_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> Vale.X64.Decls.va_pbool
{ "end_col": 87, "end_line": 2881, "start_col": 2, "start_line": 2870 }
Prims.Tot
val va_code_Fmul1_stdcall : win:bool -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Fmul1_stdcall win = (va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ()))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fmul1 ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CNil ())) else va_Block (va_CNil ())) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ())))))))))))
val va_code_Fmul1_stdcall : win:bool -> Tot va_code let va_code_Fmul1_stdcall win =
false
null
false
(va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ()))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fmul1 ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CNil ())) else va_Block (va_CNil ())) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ())))))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Prims.bool", "Vale.X64.Decls.va_Block", "Vale.X64.Decls.va_CCons", "Vale.X64.InsStack.va_code_Push_Secret", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRsi", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR8", "Vale.X64.Decls.va_CNil", "Vale.X64.Decls.va_code", "Vale.Curve25519.X64.FastHybrid.va_code_Fmul1", "Vale.X64.InsStack.va_code_Pop_Secret" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Carry_wide va_b0 va_s0 offset dst_b inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_wide va_mods offset dst_b inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_wide offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 472 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 514 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 515 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 516 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 518 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 520 column 36 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == a `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 522 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 523 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Carry_wide offset dst_b inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_wide (va_code_Carry_wide offset) va_s0 offset dst_b inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Carry_sub_pass #push-options "--z3rlimit 600 --z3seed 2" val va_code_Carry_sub_pass : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_sub_pass () = (va_Block (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Substract carry*38 from the original difference" ) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CNil ()))))))))))))))))) val va_codegen_success_Carry_sub_pass : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_sub_pass () = (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Substract carry*38 from the original difference" ) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_sub_pass (va_mods:va_mods_t) : (va_quickCode unit (va_code_Carry_sub_pass ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 634 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 636 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 637 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 638 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 640 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 641 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Substract carry*38 from the original difference" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 642 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 643 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 644 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 645 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 647 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 648 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (fun (va_s:va_state) _ -> let (old_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_old_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 650 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38) (let (sum:int) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) - old_carry `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 653 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum < 0)) (let (va_arg37:Vale.Def.Types_s.nat64) = old_carry in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg32:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg31:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg30:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg29:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 654 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_sub_prime va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 new_carry) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 657 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 658 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 659 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_sub_pass : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_sub_pass ()) va_s0 /\ va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))) [@"opaque_to_smt"] let va_lemma_Carry_sub_pass va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Carry_sub_pass va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_sub_pass ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 613 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 632 column 114 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_sub_pass (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0)))))) in va_get_ok va_sM /\ Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s0))) pow2_256) `op_Modulus` prime ==> va_k va_sM (()))) val va_wpProof_Carry_sub_pass : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_sub_pass va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_sub_pass va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_sub_pass (va_code_Carry_sub_pass ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_sub_pass () : (va_quickCode unit (va_code_Carry_sub_pass ())) = (va_QProc (va_code_Carry_sub_pass ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Carry_sub_pass va_wpProof_Carry_sub_pass) #pop-options //-- //-- Fast_add #push-options "--z3rlimit 600" val va_code_Fast_add : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add () = (va_Block (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_CNil ())))))))))))))) val va_codegen_success_Fast_add : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add () = (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 706 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 707 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRdx) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 inA_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 708 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 710 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRdx) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 inA_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 711 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 713 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRdx) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 inA_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 714 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 716 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRdx) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 inA_b 3 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 717 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) 24 Secret)) (va_QEmpty (())))))))))))))))) val va_lemma_Fast_add : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_add va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_add va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 664 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 702 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in label va_range1 "***** POSTCONDITION NOT MET AT line 703 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 704 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) in d == a + b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_add : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add (va_code_Fast_add ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add ())) = (va_QProc (va_code_Fast_add ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_add inA_b inB_b) (va_wpProof_Fast_add inA_b inB_b)) #pop-options //-- //-- Fast_sub #push-options "--z3rlimit 600" val va_code_Fast_sub : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_sub () = (va_Block (va_CCons (va_code_Comment "Compute the raw substraction of f1-f2" ) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_CNil ()))))))))))))))) val va_codegen_success_Fast_sub : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_sub () = (va_pbool_and (va_codegen_success_Comment "Compute the raw substraction of f1-f2" ) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_sub (va_mods:va_mods_t) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 760 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw substraction of f1-f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 761 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 764 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsi) 0 Secret inA_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 25 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 inB_b 0 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 765 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sub64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 0 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 767 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsi) 8 Secret inA_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 inB_b 1 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 768 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 8 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 770 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR10) (va_op_reg_opr64_reg64 rRsi) 16 Secret inA_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 inB_b 2 Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 771 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 16 Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 773 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR11) (va_op_reg_opr64_reg64 rRsi) 24 Secret inA_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 774 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 inB_b 3 Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 774 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Sbb64 (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRdx) 24 Secret)) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in let (va_arg36:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg35:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg34:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg33:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 776 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastUtil_helpers.lemma_sub a a0 a1 a2 a3 b b0 b1 b2 b3 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37) (va_QEmpty (())))))))))))))))))) val va_lemma_Fast_sub : va_b0:va_code -> va_s0:va_state -> inA_b:buffer64 -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_sub ()) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0)))))))) [@"opaque_to_smt"] let va_lemma_Fast_sub va_b0 va_s0 inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok] in let va_qc = va_qcode_Fast_sub va_mods inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_sub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 720 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 756 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 757 column 55 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 758 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.valid_cf (va_get_flags va_sM))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_sub (inA_b:buffer64) (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b 4 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdx va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 va_s0)))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem_heaplet 0 va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) in d - va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM))) pow2_256 == a - b /\ Vale.X64.Decls.valid_cf (va_get_flags va_sM)) ==> va_k va_sM (()))) val va_wpProof_Fast_sub : inA_b:buffer64 -> inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_sub inA_b inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_sub inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_sub (va_code_Fast_sub ()) va_s0 inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_sub (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_sub ())) = (va_QProc (va_code_Fast_sub ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8]) (va_wp_Fast_sub inA_b inB_b) (va_wpProof_Fast_sub inA_b inB_b)) #pop-options //-- //-- Fadd [@ "opaque_to_smt" va_qattr] let va_code_Fadd () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Comment "Compute the raw addition of f1 + f2" ) (va_CCons (va_code_Fast_add ()) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Carry_pass true 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Comment "Compute the raw addition of f1 + f2" ) (va_pbool_and (va_codegen_success_Fast_add ()) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Carry_pass true 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 836 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 841 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw addition of f1 + f2" ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 842 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_add inA_b inB_b) (fun (va_s:va_state) _ -> let (va_arg26:prop) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) + va_mul_nat (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) pow2_256 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 843 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg26 int_canon) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 846 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 847 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass true 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 849 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Fadd va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 782 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 827 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 828 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 830 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 831 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 832 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 834 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd (va_code_Fadd ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fadd_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fadd_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fadd ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fadd_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fadd ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fadd_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fadd_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 923 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 926 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 927 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 929 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 930 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 931 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 934 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fadd dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 936 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 938 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 939 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fadd_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fadd_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fadd_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 852 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 879 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 880 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 881 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 884 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 885 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 886 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 887 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 889 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 890 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 891 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 892 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 894 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 895 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 896 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 898 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a + b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 904 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 906 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 907 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 908 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 909 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 910 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 911 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 912 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 913 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 914 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 915 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 916 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 917 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 918 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 920 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fadd_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fadd_stdcall (va_code_Fadd_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub [@ "opaque_to_smt" va_qattr] let va_code_Fsub () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_sub ()) (va_CCons (va_code_Carry_sub_pass ()) (va_CCons (va_code_Store4 ()) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_sub ()) (va_pbool_and (va_codegen_success_Carry_sub_pass ()) (va_pbool_and (va_codegen_success_Store4 ()) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 997 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 inB_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1002 column 13 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_sub inA_b inB_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1003 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_sub_pass ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1004 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store4 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1006 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))) [@"opaque_to_smt"] let va_lemma_Fsub va_b0 va_s0 dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub va_mods dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 943 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 988 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 989 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 995 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub (va_code_Fsub ()) va_s0 dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fsub_stdcall [@ "opaque_to_smt" va_qattr] let va_code_Fsub_stdcall win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CNil ())))))) else va_Block (va_CNil ())) (va_CCons (va_code_Fsub ()) (va_CCons (if win then va_Block (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CNil ()))) else va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fsub_stdcall win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_ttrue ()))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Fsub ()) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_ttrue ())) else va_ttrue ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fsub_stdcall (va_mods:va_mods_t) (win:bool) (dst_b:buffer64) (inA_b:buffer64) (inB_b:buffer64) : (va_quickCode unit (va_code_Fsub_stdcall win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1080 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1084 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1086 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1087 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1088 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QEmpty (())))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1091 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fsub dst_b inA_b inB_b) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1093 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QEmpty (()))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))) [@"opaque_to_smt"] let va_lemma_Fsub_stdcall va_b0 va_s0 win dst_b inA_b inB_b = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fsub_stdcall va_mods win dst_b inA_b inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fsub_stdcall win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1009 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (dst_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inA_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (inB_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1036 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a0 = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1037 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a1 = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a2 = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a3 = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1041 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b0 = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b1 = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1043 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b2 = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1044 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b3 = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1048 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1049 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1051 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let a = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1052 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let b = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1053 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == (a - b) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1061 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1063 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1064 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1065 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1066 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1067 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1068 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1069 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1070 column 33 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1071 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1072 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1073 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1074 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1075 column 34 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1077 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fsub_stdcall win dst_b inA_b inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fsub_stdcall (va_code_Fsub_stdcall win) va_s0 win dst_b inA_b inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Fmul1 #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Fmul1 () = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_code_Fast_mul1 0) (va_CCons (va_code_LargeComment "Wrap the result back into the field" ) (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Carry_pass false 0) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fmul1 () = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Fast_mul1 0) (va_pbool_and (va_codegen_success_LargeComment "Wrap the result back into the field" ) (va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Carry_pass false 0) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fmul1 (va_mods:va_mods_t) (dst_b:buffer64) (inA_b:buffer64) (inB:nat64) : (va_quickCode unit (va_code_Fmul1 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1150 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_CreateHeaplets ([declare_buffer64 inA_b 0 Secret Immutable; declare_buffer64 dst_b 0 Secret Mutable])) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1154 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1 0 inA_b) (fun (va_s:va_state) _ -> let (va_arg28:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg27:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg26:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg25:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg24:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg23:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1155 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fmul a0 a1 a2 a3 va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 va_arg28) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1156 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_s `op_Multiply` 38 < pow2_63) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1157 column 17 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_LargeComment "Wrap the result back into the field" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1158 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1159 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1160 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false 0 dst_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1163 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Fmul1 va_b0 va_s0 dst_b inA_b inB = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Fmul1 va_mods dst_b inA_b inB in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fmul1 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1100 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 0 (va_get_mem va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 1 (va_get_mem va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 2 (va_get_mem va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b 3 (va_get_mem va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1141 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1142 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1143 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1144 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 1145 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 in label va_range1 "***** POSTCONDITION NOT MET AT line 1146 column 40 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d `op_Modulus` prime == va_mul_nat a (va_get_reg64 rRdx va_s0) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1148 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem va_s0) (va_get_mem va_sM))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Fmul1 dst_b inA_b inB va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fmul1 (va_code_Fmul1 ()) va_s0 dst_b inA_b inB in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 0 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_layout; va_Mod_mem_heaplet 0; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Fmul1_stdcall #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr]
false
true
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Fmul1_stdcall : win:bool -> Tot va_code
[]
Vale.Curve25519.X64.FastHybrid.va_code_Fmul1_stdcall
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
win: Prims.bool -> Vale.X64.Decls.va_code
{ "end_col": 76, "end_line": 2866, "start_col": 2, "start_line": 2856 }
Prims.Tot
val va_qcode_Carry_wide (va_mods: va_mods_t) (offset: nat) (dst_b inA_b: buffer64) : (va_quickCode unit (va_code_Carry_wide offset))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastUtil_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.FastHybrid_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_lemmas_external", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.Fast_defs", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Curve25519.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s:va_state) _ -> let (d0_mid:nat64) = va_get_reg64 rR8 va_s in let (d1_mid:nat64) = va_get_reg64 rR9 va_s in let (d2_mid:nat64) = va_get_reg64 rR10 va_s in let (d3_mid:nat64) = va_get_reg64 rR11 va_s in let (carry_mid:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s:va_state) _ -> let (d0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (d1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (d2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (d3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (va_arg35:Vale.Def.Types_s.nat64) = carry_mid in let (va_arg34:Vale.Def.Types_s.nat64) = d3_mid in let (va_arg33:Vale.Def.Types_s.nat64) = d2_mid in let (va_arg32:Vale.Def.Types_s.nat64) = d1_mid in let (va_arg31:Vale.Def.Types_s.nat64) = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (()))))))))
val va_qcode_Carry_wide (va_mods: va_mods_t) (offset: nat) (dst_b inA_b: buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) let va_qcode_Carry_wide (va_mods: va_mods_t) (offset: nat) (dst_b inA_b: buffer64) : (va_quickCode unit (va_code_Carry_wide offset)) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let a0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (0 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (1 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (2 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (3 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a4:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (4 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a5:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (5 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a6:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (6 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a7:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read inA_b (7 + offset `op_Multiply` 2) (va_get_mem_heaplet 0 va_s) in let a:Prims.nat = Vale.Curve25519.Fast_defs.pow2_eight a0 a1 a2 a3 a4 a5 a6 a7 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 525 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo") (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 526 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 528 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Fast_mul1_add (offset `op_Multiply` 2) inA_b) (fun (va_s: va_state) _ -> let d0_mid:nat64 = va_get_reg64 rR8 va_s in let d1_mid:nat64 = va_get_reg64 rR9 va_s in let d2_mid:nat64 = va_get_reg64 rR10 va_s in let d3_mid:nat64 = va_get_reg64 rR11 va_s in let carry_mid:nat64 = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 535 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_pass false offset dst_b) (fun (va_s: va_state) _ -> let d0:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let d1:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let d2:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let d3:Vale.Def.Types_s.nat64 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let va_arg35:Vale.Def.Types_s.nat64 = carry_mid in let va_arg34:Vale.Def.Types_s.nat64 = d3_mid in let va_arg33:Vale.Def.Types_s.nat64 = d2_mid in let va_arg32:Vale.Def.Types_s.nat64 = d1_mid in let va_arg31:Vale.Def.Types_s.nat64 = d0_mid in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 541 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_: unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide a0 a1 a2 a3 a4 a5 a6 a7 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 d0 d1 d2 d3) (va_QEmpty (()))))))))
{ "checked_file": "Vale.Curve25519.X64.FastHybrid.fst.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Curve25519.FastUtil_helpers.fsti.checked", "Vale.Curve25519.FastHybrid_helpers.fsti.checked", "Vale.Curve25519.Fast_lemmas_external.fsti.checked", "Vale.Curve25519.Fast_defs.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Curve25519.X64.FastHybrid.fst" }
[ "total" ]
[ "Vale.X64.QuickCode.va_mods_t", "Prims.nat", "Vale.X64.Memory.buffer64", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsBasic.va_code_Comment", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Decls.va_const_opr64", "Vale.Curve25519.X64.FastHybrid.va_code_Fast_mul1_add", "Prims.op_Multiply", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_pass", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.QuickCodes.va_range1", "Vale.X64.InsBasic.va_quick_Comment", "Vale.X64.InsBasic.va_quick_Mov64", "Vale.X64.QuickCodes.va_QBind", "Vale.Curve25519.X64.FastHybrid.va_quick_Fast_mul1_add", "Vale.Curve25519.X64.FastHybrid.va_quick_Carry_pass", "Vale.X64.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.eq2", "Prims.int", "Vale.Curve25519.Fast_defs.pow2_five", "Prims.op_Addition", "Vale.Curve25519.Fast_defs.pow2_four", "Prims.op_Modulus", "Prims.l_Forall", "Prims.l_imp", "Vale.Curve25519.Fast_defs.pow2_eight", "Vale.Curve25519.FastHybrid_helpers.lemma_carry_wide", "Vale.X64.QuickCodes.va_QEmpty", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.X64.QuickCodes.quickCodes", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.va_quickCode", "Vale.Curve25519.X64.FastHybrid.va_code_Carry_wide" ]
[]
module Vale.Curve25519.X64.FastHybrid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open FStar.Tactics open Vale.Curve25519.Fast_defs open Vale.Curve25519.Fast_lemmas_external open Vale.Curve25519.FastHybrid_helpers open Vale.Curve25519.FastUtil_helpers open Vale.X64.CPU_Features_s #reset-options "--z3rlimit 60" //-- Fast_mul1 #push-options "--z3rlimit 600" val va_code_Fast_mul1 : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1 offset = (va_Block (va_CCons (va_code_Comment "Compute the raw multiplication of f1*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[0]*f2" ) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Space 2) (va_CCons (va_code_Comment "f1[1]*f2" ) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[2]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_NoNewline ()) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_CCons (va_code_Comment "f1[3]*f2" ) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))))) val va_codegen_success_Fast_mul1 : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1 offset = (va_pbool_and (va_codegen_success_Comment "Compute the raw multiplication of f1*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[0]*f2" ) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Space 2) (va_pbool_and (va_codegen_success_Comment "f1[1]*f2" ) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[2]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_NoNewline ()) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (va_pbool_and (va_codegen_success_Comment "f1[3]*f2" ) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1 (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 98 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Compute the raw multiplication of f1*f2" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 99 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 101 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) inA_b (0 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 102 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRcx) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg60:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg59:Vale.Def.Types_s.nat64) = va_get_reg64 rRcx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 102 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg59 va_arg60 va_arg61 a0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 144 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 102 column 156 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[0]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 103 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) inA_b (1 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 104 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg57:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 104 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg56 va_arg57 va_arg58 a1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 145 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Space 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 104 column 157 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[1]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 105 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 106 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 107 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) inA_b (2 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 108 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg53:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 108 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg53 va_arg54 va_arg55 a2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 108 column 147 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[2]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 109 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 110 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_NoNewline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) inA_b (3 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 111 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + 8 `op_Multiply` offset) Secret)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 111 column 122 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg50 va_arg51 va_arg52 a3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 111 column 149 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "f1[3]*f2" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 112 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 113 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 116 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg49:prop) = va_mul_nat a (va_get_reg64 rRdx va_s) == 0 + Vale.Curve25519.Fast_defs.pow2_four (va_mul_nat (va_get_reg64 rRdx va_s) a0) (va_mul_nat (va_get_reg64 rRdx va_s) a1) (va_mul_nat (va_get_reg64 rRdx va_s) a2) (va_mul_nat (va_get_reg64 rRdx va_s) a3) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 117 column 21 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> assert_by_tactic va_arg49 int_canon) (va_QEmpty (())))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1 : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1 offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1 va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1 va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1 offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 54 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in label va_range1 "***** POSTCONDITION NOT MET AT line 92 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 93 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 95 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRax va_sM < pow2_64 - 1) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 96 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1 (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 4) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a (va_get_reg64 rRdx va_s0) /\ va_get_reg64 rRax va_sM < pow2_64 - 1 /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1 : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1 offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1 offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1 (va_code_Fast_mul1 offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1 (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1 offset)) = (va_QProc (va_code_Fast_mul1 offset) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_mul1 offset inA_b) (va_wpProof_Fast_mul1 offset inA_b)) #pop-options //-- //-- Fast_add_after_mul1_regs #push-options "--z3rlimit 600" val va_code_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_add_after_mul1_regs () = (va_Block (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))))))))) val va_codegen_success_Fast_add_after_mul1_regs : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_add_after_mul1_regs () = (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_add_after_mul1_regs (va_mods:va_mods_t) (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (va_get_reg64 rRax va_s) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 228 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 230 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRcx) (va_op_reg_opr64_reg64 rRsi) 0 Secret inB_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 231 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 232 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 234 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsi) 8 Secret inB_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 235 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsi) 16 Secret inB_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 240 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Load64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsi) 24 Secret inB_b 3) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 241 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 243 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))))))) val va_lemma_Fast_add_after_mul1_regs : va_b0:va_code -> va_s0:va_state -> inB_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_add_after_mul1_regs ()) va_s0 /\ va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_add_after_mul1_regs va_b0 va_s0 inB_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Fast_add_after_mul1_regs va_mods inB_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_add_after_mul1_regs ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 185 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == a + b)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_add_after_mul1_regs (inB_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in adx_enabled /\ bmi2_enabled /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inB_b 4 (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 < pow2_64 - 1) /\ (forall (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rbx:nat64) (va_x_r13:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax va_s0))))))))) in va_get_ok va_sM /\ (let (b0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 0 (va_get_mem_heaplet 0 va_s0) in let (b1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 1 (va_get_mem_heaplet 0 va_s0) in let (b2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 2 (va_get_mem_heaplet 0 va_s0) in let (b3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inB_b 3 (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) (va_get_reg64 rRax va_s0) in let (b:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four b0 b1 b2 b3 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == a + b) ==> va_k va_sM (()))) val va_wpProof_Fast_add_after_mul1_regs : inB_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_add_after_mul1_regs inB_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_add_after_mul1_regs inB_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_add_after_mul1_regs (va_code_Fast_add_after_mul1_regs ()) va_s0 inB_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_add_after_mul1_regs (inB_b:buffer64) : (va_quickCode unit (va_code_Fast_add_after_mul1_regs ())) = (va_QProc (va_code_Fast_add_after_mul1_regs ()) ([va_Mod_flags; va_Mod_reg64 rR13; va_Mod_reg64 rRbx; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax]) (va_wp_Fast_add_after_mul1_regs inB_b) (va_wpProof_Fast_add_after_mul1_regs inB_b)) #pop-options //-- //-- Fast_mul1_add #push-options "--z3rlimit 600" val va_code_Fast_mul1_add : offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Fast_mul1_add offset = (va_Block (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mem64_lemma ()) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CNil ())))))))))))))))))))))))) val va_codegen_success_Fast_mul1_add : offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Fast_mul1_add offset = (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mem64_lemma ()) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_ttrue ()))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Fast_mul1_add (va_mods:va_mods_t) (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 296 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 298 column 30 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) inA_b (4 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 298 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (32 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg100:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg99:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg98:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 298 column 121 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg98 va_arg99 va_arg100 a4) (let (ba4_hi:nat64) = va_get_reg64 rR13 va_s in let (ba4_lo:nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 302 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) inA_b (0 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 304 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR8) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (0 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 306 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) inA_b (5 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 306 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRbx) (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (40 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg97:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg96:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg95:Vale.Def.Types_s.nat64) = va_get_reg64 rRbx va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 306 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg95 va_arg96 va_arg97 a5) (let (ba5_hi:nat64) = va_get_reg64 rRbx va_s in let (ba5_lo:nat64) = va_get_reg64 rR9 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 309 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s1:nat64) = va_get_reg64 rR9 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) inA_b (1 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 312 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR9) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (8 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 314 column 28 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) inA_b (6 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 314 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rR13) (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (48 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg94:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg93:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg92:Vale.Def.Types_s.nat64) = va_get_reg64 rR13 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 119 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg92 va_arg93 va_arg94 a6) (let (ba6_hi:nat64) = va_get_reg64 rR13 va_s in let (ba6_lo:nat64) = va_get_reg64 rR10 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 317 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> let (s2:nat64) = va_get_reg64 rR10 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) inA_b (2 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 320 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR10) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (16 + offset `op_Multiply` 8) Secret)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 322 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) inA_b (7 + offset) Secret) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 322 column 11 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mulx64 (va_op_dst_opr64_reg64 rRax) (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (56 + offset `op_Multiply` 8) Secret)) (fun (va_s:va_state) _ -> let (va_arg91:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_s in let (va_arg90:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg89:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 322 column 120 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.Fast_lemmas_external.lemma_prod_bounds va_arg89 va_arg90 va_arg91 a7) (let (ba7_hi:nat64) = va_get_reg64 rRax va_s in let (ba7_lo:nat64) = va_get_reg64 rR11 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 325 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> let (s3:nat64) = va_get_reg64 rR11 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 26 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mem64_lemma (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) inA_b (3 + offset) Secret) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 328 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rR11) (va_opr_code_Mem64 (va_op_heaplet_mem_heaplet 0) (va_op_reg64_reg64 rRsi) (24 + offset `op_Multiply` 8) Secret)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 330 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (s4:nat64) = va_get_reg64 rRax va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 332 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adox64Wrap (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (fun (va_s:va_state) _ -> let (carry_bit:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 335 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (carry_bit == 0) (let (va_arg88:Vale.Def.Types_s.nat64) = s4 in let (va_arg87:Vale.Def.Types_s.nat64) = s3 in let (va_arg86:Vale.Def.Types_s.nat64) = s2 in let (va_arg85:Vale.Def.Types_s.nat64) = s1 in let (va_arg84:Vale.Def.Types_s.nat64) = ba7_lo in let (va_arg83:Vale.Def.Types_s.nat64) = ba7_hi in let (va_arg82:Vale.Def.Types_s.nat64) = ba6_lo in let (va_arg81:Vale.Def.Types_s.nat64) = ba6_hi in let (va_arg80:Vale.Def.Types_s.nat64) = ba5_lo in let (va_arg79:Vale.Def.Types_s.nat64) = ba5_hi in let (va_arg78:Vale.Def.Types_s.nat64) = ba4_lo in let (va_arg77:Vale.Def.Types_s.nat64) = ba4_hi in let (va_arg76:Vale.Def.Types_s.nat64) = va_get_reg64 rRdx va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 336 column 20 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_fast_mul1 a' va_arg76 a4 a5 a6 a7 va_arg77 va_arg78 va_arg79 va_arg80 va_arg81 va_arg82 va_arg83 va_arg84 va_arg85 va_arg86 va_arg87 va_arg88) (let (d:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_five ba4_lo s1 s2 s3 s4 in let (va_arg75:Vale.Def.Types_s.nat64) = va_get_reg64 rRax va_s in let (va_arg74:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg73:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg72:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg71:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg70:Vale.Def.Types_s.nat64) = s4 in let (va_arg69:Vale.Def.Types_s.nat64) = s3 in let (va_arg68:Vale.Def.Types_s.nat64) = s2 in let (va_arg67:Vale.Def.Types_s.nat64) = s1 in let (va_arg66:Vale.Def.Types_s.nat64) = ba4_lo in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 340 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_addition a d a0 a1 a2 a3 va_arg66 va_arg67 va_arg68 va_arg69 va_arg70 va_arg71 va_arg72 va_arg73 va_arg74 va_arg75) (va_QEmpty (()))))))))))))))))))))))))))))))))) val va_lemma_Fast_mul1_add : va_b0:va_code -> va_s0:va_state -> offset:nat -> inA_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Fast_mul1_add offset) va_s0 /\ va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Fast_mul1_add va_b0 va_s0 offset inA_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Fast_mul1_add va_mods offset inA_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Fast_mul1_add offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 246 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in label va_range1 "***** POSTCONDITION NOT MET AT line 291 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 292 column 29 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 294 column 18 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rRcx va_sM == 0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Fast_mul1_add (offset:nat) (inA_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in adx_enabled /\ bmi2_enabled /\ (offset == 0 \/ offset == 8) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRsi va_s0) inA_b (8 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_rcx:nat64) (va_x_rax:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r13:nat64) (va_x_rbx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRax va_x_rax (va_upd_reg64 rRcx va_x_rcx va_s0)))))))) in va_get_ok va_sM /\ (let (a0:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (0 + offset) (va_get_mem_heaplet 0 va_s0) in let (a1:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (1 + offset) (va_get_mem_heaplet 0 va_s0) in let (a2:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (2 + offset) (va_get_mem_heaplet 0 va_s0) in let (a3:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (3 + offset) (va_get_mem_heaplet 0 va_s0) in let (a4:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (4 + offset) (va_get_mem_heaplet 0 va_s0) in let (a5:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (5 + offset) (va_get_mem_heaplet 0 va_s0) in let (a6:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (6 + offset) (va_get_mem_heaplet 0 va_s0) in let (a7:Vale.Def.Types_s.nat64) = Vale.X64.Decls.buffer64_read inA_b (7 + offset) (va_get_mem_heaplet 0 va_s0) in let (a:Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a0 a1 a2 a3 in let (a':Prims.nat) = Vale.Curve25519.Fast_defs.pow2_four a4 a5 a6 a7 in let d = Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_sM) (va_get_reg64 rR9 va_sM) (va_get_reg64 rR10 va_sM) (va_get_reg64 rR11 va_sM) (va_get_reg64 rRax va_sM) in d == va_mul_nat a' (va_get_reg64 rRdx va_s0) + a /\ va_get_reg64 rRcx va_sM == 0) ==> va_k va_sM (()))) val va_wpProof_Fast_mul1_add : offset:nat -> inA_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Fast_mul1_add offset inA_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Fast_mul1_add offset inA_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Fast_mul1_add (va_code_Fast_mul1_add offset) va_s0 offset inA_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRax va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Fast_mul1_add (offset:nat) (inA_b:buffer64) : (va_quickCode unit (va_code_Fast_mul1_add offset)) = (va_QProc (va_code_Fast_mul1_add offset) ([va_Mod_flags; va_Mod_reg64 rRbx; va_Mod_reg64 rR13; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRax; va_Mod_reg64 rRcx]) (va_wp_Fast_mul1_add offset inA_b) (va_wpProof_Fast_mul1_add offset inA_b)) #pop-options //-- //-- Store4 val va_code_Store4 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Store4 () = (va_Block (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Store the result" ) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_CNil ())))))))) val va_codegen_success_Store4 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Store4 () = (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Store the result" ) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Store4 (va_mods:va_mods_t) (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 368 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Store the result" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) 0 Secret dst_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 370 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) 8 Secret dst_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 371 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) 16 Secret dst_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) 24 Secret dst_b 3) (va_QEmpty (()))))))))) val va_lemma_Store4 : va_b0:va_code -> va_s0:va_state -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Store4 ()) va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Store4 va_b0 va_s0 dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Store4 va_mods dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Store4 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 347 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 360 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 361 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 362 column 45 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 364 column 50 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 365 column 69 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Store4 (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b 4 (va_get_mem_layout va_s0) Secret /\ (forall (va_x_mem:vale_heap) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_mem va_x_mem va_s0) in va_get_ok va_sM /\ (va_get_reg64 rR8 va_sM == Vale.X64.Decls.buffer64_read dst_b 0 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR9 va_sM == Vale.X64.Decls.buffer64_read dst_b 1 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR10 va_sM == Vale.X64.Decls.buffer64_read dst_b 2 (va_get_mem_heaplet 0 va_sM) /\ va_get_reg64 rR11 va_sM == Vale.X64.Decls.buffer64_read dst_b 3 (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.modifies_buffer dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b 4 (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Store4 : dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Store4 dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Store4 dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Store4 (va_code_Store4 ()) va_s0 dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Store4 (dst_b:buffer64) : (va_quickCode unit (va_code_Store4 ())) = (va_QProc (va_code_Store4 ()) ([va_Mod_mem_heaplet 0; va_Mod_mem]) (va_wp_Store4 dst_b) (va_wpProof_Store4 dst_b)) //-- //-- Carry_times_38 val va_code_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_code [@ "opaque_to_smt"] let va_code_Carry_times_38 tmp = (va_Block (va_CCons (va_code_Mov64 tmp (va_const_opr64 38)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_CNil ())))) val va_codegen_success_Carry_times_38 : tmp:va_operand_dst_opr64 -> Tot va_pbool [@ "opaque_to_smt"] let va_codegen_success_Carry_times_38 tmp = (va_pbool_and (va_codegen_success_Mov64 tmp (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp)) (va_ttrue ()))) val va_lemma_Carry_times_38 : va_b0:va_code -> va_s0:va_state -> tmp:va_operand_dst_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_times_38 tmp) va_s0 /\ va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) /\ va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0))))) [@"opaque_to_smt"] let va_lemma_Carry_times_38 va_b0 va_s0 tmp = va_reveal_opaque (`%va_code_Carry_times_38) (va_code_Carry_times_38 tmp); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b1) va_s0 tmp (va_const_opr64 38) in let va_b3 = va_tl va_b1 in let (va_s4, va_fc4) = va_lemma_Cmovc64 (va_hd va_b3) va_s3 (va_op_dst_opr64_reg64 rRax) (va_coerce_dst_opr64_to_opr64 tmp) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_times_38 (tmp:va_operand_dst_opr64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_is_dst_dst_opr64 tmp va_s0 /\ va_get_ok va_s0 /\ (va_get_reg64 rRax va_s0 == 0 /\ tmp =!= Vale.X64.Machine_s.OReg #Vale.X64.Machine_s.nat64 #Vale.X64.Machine_s.reg_64 rRax /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ (forall (va_x_tmp:va_value_dst_opr64) (va_x_rax:nat64) . let va_sM = va_upd_reg64 rRax va_x_rax (va_upd_operand_dst_opr64 tmp va_x_tmp va_s0) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM == Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_sM)) `op_Multiply` 38 /\ va_eval_dst_opr64 va_sM tmp == 38) ==> va_k va_sM (()))) val va_wpProof_Carry_times_38 : tmp:va_operand_dst_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_times_38 tmp va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_times_38 tmp va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_times_38 (va_code_Carry_times_38 tmp) va_s0 tmp in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 tmp va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_times_38 (tmp:va_operand_dst_opr64) : (va_quickCode unit (va_code_Carry_times_38 tmp)) = (va_QProc (va_code_Carry_times_38 tmp) ([va_Mod_reg64 rRax; va_mod_dst_opr64 tmp]) (va_wp_Carry_times_38 tmp) (va_wpProof_Carry_times_38 tmp)) //-- //-- Carry_pass #push-options "--z3rlimit 100" val va_code_Carry_pass : use_cf:bool -> offset:nat -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Carry_pass use_cf offset = (va_Block (va_CCons (if use_cf then va_Block (va_CCons (va_code_Comment "Step 1: Compute carry*38" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Add carry*38 to the original sum" ) (va_CCons (va_code_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_CNil ()))))))) else va_Block (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 2: Fold the carry back into dst" ) (va_CNil ()))))) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_CCons (va_code_Newline ()) (va_CCons (va_code_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_CCons (va_code_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_CNil ())))))))))))))))) val va_codegen_success_Carry_pass : use_cf:bool -> offset:nat -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_pass use_cf offset = (va_pbool_and (if use_cf then va_pbool_and (va_codegen_success_Comment "Step 1: Compute carry*38" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Add carry*38 to the original sum" ) (va_pbool_and (va_codegen_success_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_ttrue ())))))) else va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 2: Fold the carry back into dst" ) (va_ttrue ())))) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret) (va_pbool_and (va_codegen_success_Newline ()) (va_pbool_and (va_codegen_success_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret) (va_ttrue ()))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_pass (va_mods:va_mods_t) (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 431 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_qInlineIf va_mods use_cf (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 433 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 1: Compute carry*38" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 434 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 435 column 23 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Carry_times_38 (va_op_dst_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 437 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 438 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Add carry*38 to the original sum" ) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 439 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Arch.Types.xor_lemmas ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Xor64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRcx)) (va_QEmpty (())))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 444 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 445 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 446 column 16 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 2: Fold the carry back into dst" ) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 450 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 451 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR9) (8 + offset `op_Multiply` 8) Secret dst_b (1 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 453 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR10) (16 + offset `op_Multiply` 8) Secret dst_b (2 + offset)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 454 column 15 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Adcx64Wrap (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRcx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 455 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR11) (24 + offset `op_Multiply` 8) Secret dst_b (3 + offset)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 456 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_five (va_get_reg64 rR8 va_s) (va_get_reg64 rR9 va_s) (va_get_reg64 rR10 va_s) (va_get_reg64 rR11 va_s) (Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s))) == Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38) (let (sum:(va_int_at_least 0)) = Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_old_s) (va_get_reg64 rR9 va_old_s) (va_get_reg64 rR10 va_old_s) (va_get_reg64 rR11 va_old_s) + carry_in `op_Multiply` 38 in let (new_carry:Vale.Curve25519.Fast_defs.bit) = Vale.Curve25519.Fast_defs.bool_bit (Vale.X64.Decls.cf (va_get_flags va_s)) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 459 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (new_carry == Vale.Curve25519.Fast_defs.bool_bit (sum >= pow2_256)) (let (va_arg52:Vale.Def.Types_s.nat64) = carry_in in let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_s in let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_s in let (va_arg48:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_s in let (va_arg47:Vale.Def.Types_s.nat64) = va_get_reg64 rR11 va_old_s in let (va_arg46:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_old_s in let (va_arg45:Vale.Def.Types_s.nat64) = va_get_reg64 rR9 va_old_s in let (va_arg44:Vale.Def.Types_s.nat64) = va_get_reg64 rR8 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 460 column 22 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (fun (_:unit) -> Vale.Curve25519.FastHybrid_helpers.lemma_carry_prime va_arg44 va_arg45 va_arg46 va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 va_arg52 new_carry) (let (a0':nat64) = va_get_reg64 rR8 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 463 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Newline ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 464 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Comment "Step 3: Fold the carry bit back in; guaranteed not to carry at this point" ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 465 column 10 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 466 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Cmovc64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRdx)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 467 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Add64Wrap (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 468 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_reg64 rR8 va_s == a0' + new_carry `op_Multiply` 38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 469 column 19 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_quick_Store64_buffer (va_op_heaplet_mem_heaplet 0) (va_op_reg_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rR8) (0 + offset `op_Multiply` 8) Secret dst_b (0 + offset)) (va_QEmpty (()))))))))))))))))))))) val va_lemma_Carry_pass : va_b0:va_code -> va_s0:va_state -> use_cf:bool -> offset:nat -> dst_b:buffer64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Carry_pass use_cf offset) va_s0 /\ va_get_ok va_s0 /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (carry_in:nat64) = (if use_cf then (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) else va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) /\ va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))) [@"opaque_to_smt"] let va_lemma_Carry_pass va_b0 va_s0 use_cf offset dst_b = let (va_mods:va_mods_t) = [va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Carry_pass va_mods use_cf offset dst_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Carry_pass use_cf offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 393 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (va_get_ok va_sM) /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 422 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 423 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 424 column 9 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 426 column 106 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 428 column 87 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 429 column 78 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/rfc7748/curve25519/x64/Vale.Curve25519.X64.FastHybrid.vaf *****" (Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in adx_enabled /\ bmi2_enabled /\ carry_in `op_Multiply` 38 < pow2_63 /\ (~use_cf ==> va_get_reg64 rRcx va_s0 == 0 /\ va_get_reg64 rRdx va_s0 == 38) /\ (use_cf ==> Vale.X64.Decls.valid_cf (va_get_flags va_s0)) /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rRdi va_s0) dst_b (4 + offset) (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_heap0:vale_heap) . let va_sM = va_upd_mem_heaplet 0 va_x_heap0 (va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))) in va_get_ok va_sM /\ (let (carry_in:nat64) = va_if use_cf (fun _ -> va_if (Vale.X64.Decls.cf (va_get_flags va_s0)) (fun _ -> 1) (fun _ -> 0)) (fun _ -> va_get_reg64 rRax va_s0) in let d0 = Vale.X64.Decls.buffer64_read dst_b (0 + offset) (va_get_mem_heaplet 0 va_sM) in let d1 = Vale.X64.Decls.buffer64_read dst_b (1 + offset) (va_get_mem_heaplet 0 va_sM) in let d2 = Vale.X64.Decls.buffer64_read dst_b (2 + offset) (va_get_mem_heaplet 0 va_sM) in let d3 = Vale.X64.Decls.buffer64_read dst_b (3 + offset) (va_get_mem_heaplet 0 va_sM) in Vale.Curve25519.Fast_defs.pow2_four d0 d1 d2 d3 `op_Modulus` prime == (Vale.Curve25519.Fast_defs.pow2_four (va_get_reg64 rR8 va_s0) (va_get_reg64 rR9 va_s0) (va_get_reg64 rR10 va_s0) (va_get_reg64 rR11 va_s0) + va_mul_nat carry_in pow2_256) `op_Modulus` prime /\ Vale.X64.Decls.modifies_buffer_specific dst_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_heaplet 0 va_sM) (0 + offset) (4 + offset - 1) /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem_heaplet 0 va_sM) (va_get_reg64 rRdi va_sM) dst_b (4 + offset) (va_get_mem_layout va_sM) Secret) ==> va_k va_sM (()))) val va_wpProof_Carry_pass : use_cf:bool -> offset:nat -> dst_b:buffer64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Carry_pass use_cf offset dst_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Carry_pass use_cf offset dst_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Carry_pass (va_code_Carry_pass use_cf offset) va_s0 use_cf offset dst_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_mem_heaplet 0 va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))); va_lemma_norm_mods ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Carry_pass (use_cf:bool) (offset:nat) (dst_b:buffer64) : (va_quickCode unit (va_code_Carry_pass use_cf offset)) = (va_QProc (va_code_Carry_pass use_cf offset) ([va_Mod_mem_heaplet 0; va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Carry_pass use_cf offset dst_b) (va_wpProof_Carry_pass use_cf offset dst_b)) #pop-options //-- //-- Carry_wide #push-options "--z3rlimit 600" [@ "opaque_to_smt" va_qattr] let va_code_Carry_wide offset = (va_Block (va_CCons (va_code_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_CCons (va_code_Fast_mul1_add (offset `op_Multiply` 2)) (va_CCons (va_code_Carry_pass false offset) (va_CNil ())))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Carry_wide offset = (va_pbool_and (va_codegen_success_Comment "Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo" ) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_const_opr64 38)) (va_pbool_and (va_codegen_success_Fast_mul1_add (offset `op_Multiply` 2)) (va_pbool_and (va_codegen_success_Carry_pass false offset) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Carry_wide (va_mods:va_mods_t) (offset:nat) (dst_b:buffer64) (inA_b:buffer64) :
false
false
Vale.Curve25519.X64.FastHybrid.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Carry_wide (va_mods: va_mods_t) (offset: nat) (dst_b inA_b: buffer64) : (va_quickCode unit (va_code_Carry_wide offset))
[]
Vale.Curve25519.X64.FastHybrid.va_qcode_Carry_wide
{ "file_name": "obj/Vale.Curve25519.X64.FastHybrid.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.X64.QuickCode.va_mods_t -> offset: Prims.nat -> dst_b: Vale.X64.Memory.buffer64 -> inA_b: Vale.X64.Memory.buffer64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Curve25519.X64.FastHybrid.va_code_Carry_wide offset)
{ "end_col": 84, "end_line": 1438, "start_col": 2, "start_line": 1400 }